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Paper Citation Record · LEDGER

A comment on the number of $k$-th powers inside arithmetic progressions

As of 13 August 2026, this Paper Citation Record lists 90 of 90 outbound references and 0 inbound Pith citation observations for arXiv:2607.15895.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.15895 v1

Coverage vector

measured 90 of 90 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T22:10:19.361248Z

measured 90 of 90 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

90 of 90 outbound references displayed

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External citation measurements

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Outbound references

Observation afc456c9-0ef1-4267-ab81-e6b77f2b7209 · outbound

This paper cites Bombieri, A.

A comment on the number of $k$-th powers inside arithmetic progressions Bombieri, A

Reference 1

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source=arxiv_source observed=2026-08-01T22:10:08.218210Z digest=sha256:cd82e73e414005569280ed123142800a9214f80dc0f4003dadd06eef10931924

Observation ce62160d-a315-4c42-886b-21ee430d4e28 · outbound

This paper cites Bombieri and U.

A comment on the number of $k$-th powers inside arithmetic progressions Bombieri and U

Reference 2

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source=arxiv_source observed=2026-08-01T22:10:08.305308Z digest=sha256:f91d43d65629335b449a3e35cf77f0ad0d1cbd4a6a5fdd7d10d6fc400a584d6e

Observation f0adfaa7-ec36-4693-99f7-c230d8b77642 · outbound

This paper cites On the number of $k$th powers inside arithmetic progressions.

A comment on the number of $k$-th powers inside arithmetic progressions On the number of $k$th powers inside arithmetic progressions

Reference 3

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source=arxiv_source observed=2026-08-01T22:10:08.475570Z digest=sha256:ee679a587a26fc5ef57009f8a8dc904b546652223764e0751b8638e22a424bcb

Observation f0bd4871-9228-45bb-837b-5ace33a5847d · outbound

This paper cites Cilleruelo and A.

A comment on the number of $k$-th powers inside arithmetic progressions Cilleruelo and A

Reference 4

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source=arxiv_source observed=2026-08-01T22:10:08.592044Z digest=sha256:98e7e41a0f7d506d3f3f415a5bd91fb11e6ff4a0de9bcbfe989cd03cff394c24

Observation 100a8848-f25e-4cdf-9c81-3a25f9ca9f0e · outbound

This paper cites Granville, Squares in arithmetic progressions and infinitely many primes, Amer.

A comment on the number of $k$-th powers inside arithmetic progressions Granville, Squares in arithmetic progressions and infinitely many primes, Amer

Reference 5

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source=arxiv_source observed=2026-08-01T22:10:08.711555Z digest=sha256:6e912a1342c2c3b74c006383d3459e9a452ae597b306606a96d49431931fdeb5

Observation 001c8d84-7aab-45bb-8f6b-6b80d86dddec · outbound

This paper cites Hajdu and \'A.

A comment on the number of $k$-th powers inside arithmetic progressions Hajdu and \'A

Reference 6

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source=arxiv_source observed=2026-08-01T22:10:08.861992Z digest=sha256:0c0fd29f6f864300db23af7c2ea97fc4d6c9e70b097efe390a75cb6eafd537cc

Observation b53428eb-9d64-44dd-ba03-733fdbf265ac · outbound

This paper cites Rudin, Trigonometric series with gaps, Journal of Mathematics and Mechanics, 9 (1960), no.2, p.

A comment on the number of $k$-th powers inside arithmetic progressions Rudin, Trigonometric series with gaps, Journal of Mathematics and Mechanics, 9 (1960), no.2, p

Reference 7

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source=arxiv_source observed=2026-08-01T22:10:08.989471Z digest=sha256:b7cb2aee627b9f561f9ca63f25fadc155a65c4317c7bf6dda79962920e9e5071

Observation c5909c67-a894-486c-af4a-4b44a9c5971f · outbound

This paper cites Wigert, Sur l'ordre de grandeur du nombre des diviseurs d'un entier, Ark.

A comment on the number of $k$-th powers inside arithmetic progressions Wigert, Sur l'ordre de grandeur du nombre des diviseurs d'un entier, Ark

Reference 8

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source=arxiv_source observed=2026-08-01T22:10:09.040170Z digest=sha256:1eb5476ebac8a497ac8e28fe488cd63ef167ad7bb8e05cfd31b5e2856b5660e1

Observation c9013b8e-234f-43be-a020-67ffe6b4b1c3 · outbound

This paper cites Alzer and F.

A comment on the number of $k$-th powers inside arithmetic progressions Alzer and F

Reference 9

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source=arxiv_source observed=2026-08-01T22:10:09.089066Z digest=sha256:df2a8efac47867c9fb3f7ef92ae9a5de751193f0badcae0e8069d30ac25edecc

Observation 7aeee612-026b-4f4f-8e4a-2edc86a1da49 · outbound

This paper cites Baker: A sharpening of the bounds for linear forms in logarithms.

A comment on the number of $k$-th powers inside arithmetic progressions Baker: A sharpening of the bounds for linear forms in logarithms

Reference 10

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source=arxiv_source observed=2026-08-01T22:10:09.149976Z digest=sha256:c7e5641bc6e952d4b59317880c9e273bd2d074151540e55c762eabd703bea61e

Observation 64416251-bb3d-4d52-a28c-d1a867c0af02 · outbound

This paper cites Bachman, Introduction of p -adic numbers and valuation theory, Academic Press, New York, 1964.

A comment on the number of $k$-th powers inside arithmetic progressions Bachman, Introduction of p -adic numbers and valuation theory, Academic Press, New York, 1964

Reference 11

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source=arxiv_source observed=2026-08-01T22:10:09.201217Z digest=sha256:10d4ec6a7a1d4c1b344bc4265ec54009dc78e0e79847d9bc2207f0782ca09bd1

Observation 87b97687-cc21-47b7-97aa-22973271ca3d · outbound

This paper cites Baczkowski, M.

A comment on the number of $k$-th powers inside arithmetic progressions Baczkowski, M

Reference 12

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source=arxiv_source observed=2026-08-01T22:10:09.256200Z digest=sha256:ac3c8662ee327f52e9685501d5aa47571877d1c302bb97e5585b7b52edf0ca4b

Observation bd66d6e8-6868-4764-8200-7e5ac54d69f3 · outbound

This paper cites Baczkowski and S.

A comment on the number of $k$-th powers inside arithmetic progressions Baczkowski and S

Reference 13

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source=arxiv_source observed=2026-08-01T22:10:09.324020Z digest=sha256:04d8f4ec41a02298e5fa0a8934f41b3651def9454c828c3dfdea547c0f59001c

Observation e33ce908-9a80-4fa7-af08-c39d22446799 · outbound

This paper cites Baker, Experiments on the abc-conjecture.

A comment on the number of $k$-th powers inside arithmetic progressions Baker, Experiments on the abc-conjecture

Reference 14

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source=arxiv_source observed=2026-08-01T22:10:09.380513Z digest=sha256:263c539d507335b4a094d806b12401bf5759bf2d52e72cbec11f28779f1903cd

Observation 97d08bbd-f3c4-4c49-a1a3-06f409559c13 · outbound

This paper cites Bennett, K.

A comment on the number of $k$-th powers inside arithmetic progressions Bennett, K

Reference 15

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source=arxiv_source observed=2026-08-01T22:10:09.460038Z digest=sha256:2dd199c8bfea94203953dddf433949b6737319042dbe5063e822ae5ccc1895b2

Observation a855bd4c-64c5-43a7-a052-034043a6bce3 · outbound

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A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work

Reference 16

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source=arxiv_source observed=2026-08-01T22:10:09.576375Z digest=sha256:d9075b80c2a8e9402f44497cd778a3b61dc9382c0365eb9d7ca8ae840a40442e

Observation a76d44cd-0da3-4a02-9dc9-3989345c0ef3 · outbound

This paper cites Bennett, et al., Explicit bounds for primes in arithmetic progressions.

A comment on the number of $k$-th powers inside arithmetic progressions Bennett, et al., Explicit bounds for primes in arithmetic progressions

Reference 17

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source=arxiv_source observed=2026-08-01T22:10:09.734097Z digest=sha256:03b1e345c3c68fba4ef7d72536c2684a0c89d21371505dcfdb5235030f694045

Observation 26268e45-948e-413b-8c38-d24938366ad8 · outbound

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A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work

Reference 18

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source=arxiv_source observed=2026-08-01T22:10:09.927186Z digest=sha256:dc8bb3d1207a9dc5a6dd36d3f62971cc58e462327fb68c6e28c0498a297ef24e

Observation 2b4d7a59-3453-47f2-a4db-734f5f9ba87a · outbound

This paper cites Bhargava, P-orderings and polynimial functions on arbitrary subsets of Dedekind rings.

A comment on the number of $k$-th powers inside arithmetic progressions Bhargava, P-orderings and polynimial functions on arbitrary subsets of Dedekind rings

Reference 19

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source=arxiv_source observed=2026-08-01T22:10:10.158336Z digest=sha256:d9e090f565d1a1361a558d32f13abeb87cc3b3d8779d6c775551564b719f4e76

Observation 4f38685e-cfe0-4fa9-a24e-3b612b67c23e · outbound

This paper cites Berend and C.F.

A comment on the number of $k$-th powers inside arithmetic progressions Berend and C.F

Reference 20

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source=arxiv_source observed=2026-08-01T22:10:10.330327Z digest=sha256:e44011f7dcb411eefc3554b9686d9fde79246918b7a78188075c7b5ffb522657

Observation 077e16d7-6dea-4747-bbba-f27540088b94 · outbound

This paper cites Berend and J.E.

A comment on the number of $k$-th powers inside arithmetic progressions Berend and J.E

Reference 21

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source=arxiv_source observed=2026-08-01T22:10:10.506170Z digest=sha256:2911db6f764ac8b7efe2a392f440f4cceef8f6cce922afe5202e705675763004

Observation e46add81-f9c9-4d52-a341-6a226f463e20 · outbound

This paper cites Berndt and W.F.

A comment on the number of $k$-th powers inside arithmetic progressions Berndt and W.F

Reference 22

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source=arxiv_source observed=2026-08-01T22:10:10.676496Z digest=sha256:b0e6c89c7b694b78e05094ff2adaf30e5965235b482d701c0032aa0a4233a25a

Observation ac34938c-cc66-46e3-88d0-3c39c90a1fc4 · outbound

This paper cites Brocard: Question 1532.

A comment on the number of $k$-th powers inside arithmetic progressions Brocard: Question 1532

Reference 23

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source=arxiv_source observed=2026-08-01T22:10:10.852804Z digest=sha256:05f6ae67fa9a7f2717574794688b68fc1e54301863d6826185eb27823a2c85c6

Observation a6c225c1-7683-4a32-9738-078ba461d374 · outbound

This paper cites Bruin, K.

A comment on the number of $k$-th powers inside arithmetic progressions Bruin, K

Reference 24

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source=arxiv_source observed=2026-08-01T22:10:11.054222Z digest=sha256:f6be9a712a8454f8ee45d0ab4f0012b1f59aa494d5ce9593ad8b2f0f90fea68f

Observation b3ec7065-34b6-44ef-9070-5be3f2263880 · outbound

This paper cites Darmon and A.

A comment on the number of $k$-th powers inside arithmetic progressions Darmon and A

Reference 25

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source=arxiv_source observed=2026-08-01T22:10:11.189469Z digest=sha256:a8e4fe7f26f87da79cfd3e4122bd0f4e3ac6b03bd213952d11842731fac04c73

Observation 37b8b036-a3e9-4726-8e50-e186dd15b2ae · outbound

This paper cites Darmon and L.

A comment on the number of $k$-th powers inside arithmetic progressions Darmon and L

Reference 26

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source=arxiv_source observed=2026-08-01T22:10:11.288089Z digest=sha256:74145ff17b7b98752fcc08d6140c8b7f04910411a814d0ee5895041725c4876e

Observation 1f4b1480-1550-4495-9fb8-68b6b282ff0c · outbound

This paper cites Dusart, Autour de la fonction qui compte le nombre de nombre premiers.

A comment on the number of $k$-th powers inside arithmetic progressions Dusart, Autour de la fonction qui compte le nombre de nombre premiers

Reference 27

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source=arxiv_source observed=2026-08-01T22:10:11.393761Z digest=sha256:4c67aeec4b19a75c078d51ca59a2b48a67b1aae79b59de48cc855d5b9c1afa62

Observation 016e57fe-1ca0-415d-bad0-3ecdad1aba45 · outbound

This paper cites Dusart, In\'egalit\'es explicites pour (X), (X), (X) et les nombres premiers.

A comment on the number of $k$-th powers inside arithmetic progressions Dusart, In\'egalit\'es explicites pour (X), (X), (X) et les nombres premiers

Reference 28

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source=arxiv_source observed=2026-08-01T22:10:11.648449Z digest=sha256:b82db6cd943144582ac0eb49ca98bef0c582127f7be53bb203b8f992f9679649

Observation ef29b5b8-a345-4d18-8dd7-0b4f02a1f69b · outbound

This paper cites Erd o s and R.

A comment on the number of $k$-th powers inside arithmetic progressions Erd o s and R

Reference 29

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source=arxiv_source observed=2026-08-01T22:10:11.838467Z digest=sha256:5a47aefdf2881242ec93c6f534fd14abb4b86b95ca0e5d9cbda0b96c46791a71

Observation df6d9d0a-2d29-4fe5-9a95-6d7c1af74fa6 · outbound

This paper cites Erd o s, On consecutive integers.

A comment on the number of $k$-th powers inside arithmetic progressions Erd o s, On consecutive integers

Reference 30

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source=arxiv_source observed=2026-08-01T22:10:11.972477Z digest=sha256:3954b51a7d1c9f517895502ee9cf422c6b11a4afbfdb9eae110331acaa3c48bc

Observation 456e1aa9-d8b2-49a1-a6a2-da6c8882d445 · outbound

This paper cites Erd o s\ et al., On the number of divisors of n! , in Analytic number theory, Vol.

A comment on the number of $k$-th powers inside arithmetic progressions Erd o s\ et al., On the number of divisors of n! , in Analytic number theory, Vol

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source=arxiv_source observed=2026-08-01T22:10:12.117514Z digest=sha256:ae4ae8c7786f47c5f7b3e0d60e58ec973dcde4e5f456b1a8c46a685675193391

Observation 71ef2259-07d2-4d0c-82bc-25645d822004 · outbound

This paper cites Bugeaud, M.

A comment on the number of $k$-th powers inside arithmetic progressions Bugeaud, M

Reference 32

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source=arxiv_source observed=2026-08-01T22:10:12.327582Z digest=sha256:54dd8f4f43ec03836cd79d8cf1add1fa6f0b287f286915db27822d32194cfab9

Observation 7f7da98b-5b51-42f4-94eb-0e635688f6a8 · outbound

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A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work

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source=arxiv_source observed=2026-08-01T22:10:12.546654Z digest=sha256:6314745d64807ee89206a7504d0d7c6dd9e5a94ff064462a23ff63e740a90e87

Observation eddcb5b4-ccde-4b3f-bbe0-4cad972bdf60 · outbound

This paper cites Dabrowski, On the equation n!+A=y^2.

A comment on the number of $k$-th powers inside arithmetic progressions Dabrowski, On the equation n!+A=y^2

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source=arxiv_source observed=2026-08-01T22:10:12.716385Z digest=sha256:59acc6e070b865a519ef7c9c45cfc6a058eaf4935a348791e3861fbb914cb85c

Observation e550c997-5583-4d84-a5c7-649445f84abe · outbound

This paper cites Dabrowski: On the Brocard--Ramanujan problem and generalizations.

A comment on the number of $k$-th powers inside arithmetic progressions Dabrowski: On the Brocard--Ramanujan problem and generalizations

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source=arxiv_source observed=2026-08-01T22:10:12.890908Z digest=sha256:5cc9e23eececb8a6d84b638e4dec3b10e0da1b58eb53ef9b90a5a26bbdb3b13d

Observation ec60503d-57e1-46c4-a841-8af5dbd77c9d · outbound

This paper cites Dabrowski and M.

A comment on the number of $k$-th powers inside arithmetic progressions Dabrowski and M

Reference 36

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source=arxiv_source observed=2026-08-01T22:10:13.064970Z digest=sha256:87adb52429de175cdded0e25e1accc240b5e12290e62f7128c548339706bcc8d

Observation d8c0d6c7-ed0c-41ca-9953-0d1b03a473fc · outbound

This paper cites Epstein and J.

A comment on the number of $k$-th powers inside arithmetic progressions Epstein and J

Reference 37

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source=arxiv_source observed=2026-08-01T22:10:13.174844Z digest=sha256:729a3fa44822c359733d67f0184e35fc3b13bb429175e9b46d5cf96f3e2422b7

Observation f487ef63-29c5-43ff-8a1e-9d259a0eedaa · outbound

This paper cites Dufour and O.

A comment on the number of $k$-th powers inside arithmetic progressions Dufour and O

Reference 38

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source=arxiv_source observed=2026-08-01T22:10:13.296681Z digest=sha256:2b1c11690c4c612d983d76338a0a989e2f72d478f8000de938e7182dc19e5e41

Observation 11a79683-15bd-43ee-9cc0-30e91431d113 · outbound

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A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work

Reference 39

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source=arxiv_source observed=2026-08-01T22:10:13.387525Z digest=sha256:32b0bdad6d6104c7ca1739f0481eceac6917006f182fc5857a88e7e18d4b38fb

Observation f5bfe49c-5b03-4624-a331-1304aa290b2e · outbound

This paper cites Hardy and E.M.

A comment on the number of $k$-th powers inside arithmetic progressions Hardy and E.M

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source=arxiv_source observed=2026-08-01T22:10:13.547065Z digest=sha256:ea1b0486eb576e3364fad3e9e7c3b39a8008c26b9abf9d8978276ff7173e4b39

Observation 674e766a-d06b-48a2-b7ca-25cea2b312ad · outbound

This paper cites Janusz, Algebraic number fields, Academic Press, New York and London (1973).

A comment on the number of $k$-th powers inside arithmetic progressions Janusz, Algebraic number fields, Academic Press, New York and London (1973)

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source=arxiv_source observed=2026-08-01T22:10:13.664731Z digest=sha256:ffe9aed413b2036100e702e9bb825d2c66958881e9a7883603a82f08470ab7f0

Observation fac31eb6-bcd7-4b80-a527-7047a23e1aa3 · outbound

This paper cites Erd o s and R.L.

A comment on the number of $k$-th powers inside arithmetic progressions Erd o s and R.L

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source=arxiv_source observed=2026-08-01T22:10:13.769185Z digest=sha256:a4c8e193c023f0563cd07d823d8513c4707f7e48a6e2f15afa44a69614adb0a4

Observation 46c750fa-0896-48d3-88e8-63042ea4bc31 · outbound

This paper cites Gy o ry, Power values of products of consecutive integers and binomial coefficients, Number Theory and Its Applications.

A comment on the number of $k$-th powers inside arithmetic progressions Gy o ry, Power values of products of consecutive integers and binomial coefficients, Number Theory and Its Applications

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source=arxiv_source observed=2026-08-01T22:10:13.885130Z digest=sha256:e7653930ed0b0a62196ab5f7d01005e01506ba04fd691dddd52a8626b72dec53

Observation 6137063e-0142-4641-92e2-e2d297062a39 · outbound

This paper cites Gy o ry, L.

A comment on the number of $k$-th powers inside arithmetic progressions Gy o ry, L

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source=arxiv_source observed=2026-08-01T22:10:14.011899Z digest=sha256:9c3be7a9b612083f062c4f5795f5024a8ad22af073d5ad39ee3468e4e962fdb7

Observation be203108-cbb5-450c-b095-1ba135c8fd95 · outbound

This paper cites Hajdu, Perfect powers in arithmetic progression.

A comment on the number of $k$-th powers inside arithmetic progressions Hajdu, Perfect powers in arithmetic progression

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source=arxiv_source observed=2026-08-01T22:10:14.135446Z digest=sha256:49de29fc04ca7c95a05fea420627a405ca36e4594b0aa17d150025733c44ca1a

Observation 0482726e-22d2-49ed-8708-0ccf7f242c2e · outbound

This paper cites Kihel and F.

A comment on the number of $k$-th powers inside arithmetic progressions Kihel and F

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source=arxiv_source observed=2026-08-01T22:10:14.239411Z digest=sha256:d3d78d4d0655cc55fc5ec1333f95f1e37dfcdc9d651e252e79b1ffa9cd8b2a03

Observation 728c9aa3-83f6-4491-8633-4a49891f439f · outbound

This paper cites Lang: Old and new conjectured diophantine inequalities.

A comment on the number of $k$-th powers inside arithmetic progressions Lang: Old and new conjectured diophantine inequalities

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source=arxiv_source observed=2026-08-01T22:10:14.409633Z digest=sha256:930b140be52b6f960fc1cb6a461257ae4194b0e5dc27fa59f4783e77c4d432fe

Observation 9130cbe3-b501-441e-9d68-6d51d5a1cbab · outbound

This paper cites Halberstam and H.-E.

A comment on the number of $k$-th powers inside arithmetic progressions Halberstam and H.-E

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source=arxiv_source observed=2026-08-01T22:10:14.531745Z digest=sha256:b7cb76fb7ee2bcb9f724b770a79ce879751e8c56721c301b77fd5f55538b8150

Observation 638d4251-a219-4d81-8572-e6d4f3d90a28 · outbound

This paper cites Gawron, A note on the Diophantine equation P(z)=n!+m!.

A comment on the number of $k$-th powers inside arithmetic progressions Gawron, A note on the Diophantine equation P(z)=n!+m!

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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T22:10:14.623977Z digest=sha256:87f415d5143e6bd25f90a5beb1f71f88ea6c5eec13ea993a1736e39dabd10686

Observation bec3085d-6f85-4610-8626-144e79625b0e · outbound

This paper cites Guy, Unsolved problems in number theory.

A comment on the number of $k$-th powers inside arithmetic progressions Guy, Unsolved problems in number theory

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source=arxiv_source observed=2026-08-01T22:10:14.721814Z digest=sha256:fedaf7a1fcffbe4e55b2086e7f892e16631936b772f8651d79de88e898d110bf

Observation 258490f5-e885-4fd1-881d-45a931b365f7 · outbound

This paper cites Lang, Old and new conjectured Diophantine inequalities.

A comment on the number of $k$-th powers inside arithmetic progressions Lang, Old and new conjectured Diophantine inequalities

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source=arxiv_source observed=2026-08-01T22:10:14.819754Z digest=sha256:1739d76e8541c7f71a08034b182c76f0e26701f46e46f713dfd1b7be325e4a17

Observation 1e57b86d-3f46-4de9-a8f8-2e2b223b4ce3 · outbound

This paper cites Luca, Equations involving arithmetic functions of factorials.

A comment on the number of $k$-th powers inside arithmetic progressions Luca, Equations involving arithmetic functions of factorials

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source=arxiv_source observed=2026-08-01T22:10:14.900159Z digest=sha256:bd73a1d7cf897ff2bb3d01bc28341db173209d32c5a1a5601ec2c47c514a669e

Observation 6cf66894-fdd1-4a57-99e1-7d7d7e2d8b07 · outbound

This paper cites Laishram and T.N.

A comment on the number of $k$-th powers inside arithmetic progressions Laishram and T.N

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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T22:10:15.059067Z digest=sha256:f7dc97a1eb32d99ed569df6901e68e64676ace521c1c481c428e23c42113bf8f

Observation 56fb5443-21a9-47cd-96ba-e710f55f0704 · outbound

This paper cites Luca, The Diophantine equation P(x)=n! and a result of M.

A comment on the number of $k$-th powers inside arithmetic progressions Luca, The Diophantine equation P(x)=n! and a result of M

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source=arxiv_source observed=2026-08-01T22:10:15.175379Z digest=sha256:3bd62911cb0da69490aac09d229befbb3e204028f70841bb7fd75ed12c4b6fd0

Observation 02f61ab5-06f8-4041-8f33-bf1c6d20b249 · outbound

This paper cites Luca, On factorials which are products of factorials.

A comment on the number of $k$-th powers inside arithmetic progressions Luca, On factorials which are products of factorials

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source=arxiv_source observed=2026-08-01T22:10:15.310638Z digest=sha256:0f958c5bbb225e21cd4e304ee1d1a56c7e21a2b139daa51b1ee041fa77b49aef

Observation fe74e8b5-3896-4a01-96f7-ca9c2e2a786d · outbound

This paper cites an unresolved cited work.

A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work

Reference 56

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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T22:10:15.434930Z digest=sha256:70488fcf967814f95fc76018b775e92981f327f74a174008dba1c5b8002c6f66

Observation 5525706a-edef-4586-ab7e-07e564d01664 · outbound

This paper cites Luca, On the Diophantine equations f(n)=u!+v!.

A comment on the number of $k$-th powers inside arithmetic progressions Luca, On the Diophantine equations f(n)=u!+v!

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no resolver link, observed 2026-08-01T22:10:15.541093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:15.541093Z digest=sha256:e5a9d0bb2eaecdd27e85b5ef8d7a4f20c71703d9f6141b5e75943f948dc9423c

Observation c3557142-dc3f-4e34-96fc-8beafd52bd8f · outbound

This paper cites Matson, Brocard's problem 4th solution search utilizing quadratic residues.

A comment on the number of $k$-th powers inside arithmetic progressions Matson, Brocard's problem 4th solution search utilizing quadratic residues

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:15.690053Z digest=sha256:cbfa9b9229798caedd5d61daec5836fb6978e4ae5bb9e2f390ab96ad6a8ae1da

Observation be49a03f-3f13-4d44-8309-f6cb9045aa2a · outbound

This paper cites Makki Naciri, On the variant Q(n!)=P(x) of the Brocard--Ramanujan Diophantine equation.

A comment on the number of $k$-th powers inside arithmetic progressions Makki Naciri, On the variant Q(n!)=P(x) of the Brocard--Ramanujan Diophantine equation

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no resolver link, observed 2026-08-01T22:10:15.804281Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T22:10:15.804281Z digest=sha256:4609184db8dd303d0f4379078147fcdc97bab3dc6ece584a7adfe1793f938a5b

Observation 79771f21-056f-4570-9ea1-63444712ceec · outbound

This paper cites Makki Naciri, On the Brocard-Ramanujan equation with 7-free integers and prime powers.

A comment on the number of $k$-th powers inside arithmetic progressions Makki Naciri, On the Brocard-Ramanujan equation with 7-free integers and prime powers

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:15.962835Z digest=sha256:2141e825122b11f43af54ca648ed9181412d802c62d0c30b37067d2bd2cdb7d3

Observation e2b70336-eaa4-4fc3-953a-5d47b3235e66 · outbound

This paper cites an unresolved cited work.

A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work

Reference 61

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source=arxiv_source observed=2026-08-01T22:10:16.078015Z digest=sha256:f6ebdbd5066518f09bc543dad236bb305e9645a9052b0a6310b5942d41bdbcc9

Observation a961ab4d-0d90-4c6f-bcd8-bb1f1ecd3ba1 · outbound

This paper cites an unresolved cited work.

A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work

Reference 62

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:16.224750Z digest=sha256:5537b9412a98b4ac50121e66c7b13785af0e6cdad02c24a3090119e60ac58224

Observation 99b1dd69-92a0-4fd2-8f4b-806c415ab3ce · outbound

This paper cites Nair and T.N Shorey, On products from blocks of consecutive odd primes.

A comment on the number of $k$-th powers inside arithmetic progressions Nair and T.N Shorey, On products from blocks of consecutive odd primes

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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T22:10:16.385711Z digest=sha256:60551bf901a1aa46595ed6338e40093a226f1efd2544c10abfb6a0cb11d737ab

Observation ff8d7edd-a21a-44ee-af30-1777a12b8885 · outbound

This paper cites Novakovi\'c, Diophantine equations involving double factorials, arXiv:2510.24312.

A comment on the number of $k$-th powers inside arithmetic progressions Novakovi\'c, Diophantine equations involving double factorials, arXiv:2510.24312

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source=arxiv_source observed=2026-08-01T22:10:16.536136Z digest=sha256:c701790bbf06f6679453d9811fb1ade10bd80cada3c132b85220162c58700262

Observation bffc4566-1e82-4228-9e17-1bd711792afd · outbound

This paper cites Novakovi\'c, A note on some polynomial-factorial Diophantine equations.

A comment on the number of $k$-th powers inside arithmetic progressions Novakovi\'c, A note on some polynomial-factorial Diophantine equations

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:16.639734Z digest=sha256:b9e2a829af7ce868c67e117b48af42e21936b84cc0eace93f6ea03bae7d7aea2

Observation e8faf17e-56d8-496e-b55a-723cb59767aa · outbound

This paper cites Administrative Law's Fourth Settlement: AI and the Scrutable State.

A comment on the number of $k$-th powers inside arithmetic progressions Administrative Law's Fourth Settlement: AI and the Scrutable State

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source=arxiv_source observed=2026-08-01T22:10:16.745047Z digest=sha256:5e664d423b452840662eb16e3321679c14a15cc03dec1ef5499541831b0e22d7

Observation 6ba5b4d7-030f-41a6-a2b4-7e91e36dd871 · outbound

This paper cites On the diophantine equation $An!+Bm!=f(x,y)$.

A comment on the number of $k$-th powers inside arithmetic progressions On the diophantine equation $An!+Bm!=f(x,y)$

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source=arxiv_source observed=2026-08-01T22:10:16.844078Z digest=sha256:2501dd03003494433072c4352f5c50c3ce153e5be90e437da23453f260a343fb

Observation dfe18fde-adeb-4f7b-ab75-d2befd3e0b9e · outbound

This paper cites Novakovi\'c, The Diophantine equation P(x)= r i=1 H_ n_i , arXiv:2601.16757.

A comment on the number of $k$-th powers inside arithmetic progressions Novakovi\'c, The Diophantine equation P(x)= r i=1 H_ n_i , arXiv:2601.16757

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source=arxiv_source observed=2026-08-01T22:10:16.936712Z digest=sha256:7f6edc0be25e38dd25a37c631200e3f47e50cda9c8db42b42047ca9bee4068dc

Observation 0db6493e-b9b0-4337-8dd9-eb24066bd971 · outbound

This paper cites Overholt, The Diophantine equation n!+1=m^2.

A comment on the number of $k$-th powers inside arithmetic progressions Overholt, The Diophantine equation n!+1=m^2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:17.084846Z digest=sha256:3304017f60c4dcde9e6f8abf33f36c8e0e3d3be87368da4b180af4bb5f777658

Observation 09131aa6-0452-40c4-82d9-242dfcd75357 · outbound

This paper cites Pollack and H.N.

A comment on the number of $k$-th powers inside arithmetic progressions Pollack and H.N

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:17.245343Z digest=sha256:4fd381ab13b6435a1092d7973e7ca50308823991445f49d0c86c3a26a758e98d

Observation 05f6e6fe-0949-4fa7-a4bb-a85568b10def · outbound

This paper cites Ramanujan, Question 469.

A comment on the number of $k$-th powers inside arithmetic progressions Ramanujan, Question 469

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:17.384750Z digest=sha256:5d32d7668d0166588cdb546f5ba3cc9eddf2fbb2c79527b4c4905060a4733978

Observation c994cfb5-6d18-44fb-bb43-9b0883ec37da · outbound

This paper cites Rosser and L.

A comment on the number of $k$-th powers inside arithmetic progressions Rosser and L

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:17.518733Z digest=sha256:d0cdacc6af5b97cce1ef7cd09680b8fc9ecbc77cb8f0873072a0e85ac5597330

Observation 1f780ae3-6562-407b-ad80-1305b69dc7c6 · outbound

This paper cites Saradha and T.N.

A comment on the number of $k$-th powers inside arithmetic progressions Saradha and T.N

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:17.613115Z digest=sha256:7afaafecaf5d1534fecdaf60014572477727c103fc1fa8afc5e6dc73c3d3afe0

Observation a615ae40-23d2-4b10-9d2e-ad67df398a36 · outbound

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A comment on the number of $k$-th powers inside arithmetic progressions Shorey, Exponential diophantine equations invilving products of censecutive integers and related equations

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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T22:10:17.744745Z digest=sha256:a7017a0f2b4cfd40bbb086289ee822c3d45b8cbe89d17e9c28df6956615ea5bb

Observation eae8909e-155c-4725-9682-53433c8dda55 · outbound

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A comment on the number of $k$-th powers inside arithmetic progressions Shorey, Powers in arithmetic progression, A Panorama in Number Theory (G

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:17.867414Z digest=sha256:13af13dbf6c7b0c716ae0e60fab2a99a735ace7d7c4eeb61ecdc2f1f2ec58064

Observation f0d5040a-6429-46f3-8214-602426d39557 · outbound

This paper cites Shorey and R.

A comment on the number of $k$-th powers inside arithmetic progressions Shorey and R

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:18.019287Z digest=sha256:76b4de343e1e2f405d55f53bc9abb23f18336443223ad3c8f656d2afd75b17b9

Observation 6fc5466a-dced-437b-93b2-e5ef4cf897c2 · outbound

This paper cites Tijdeman, Diophantine equations and diophantine approximations, Number Theory and Applications (R.A.

A comment on the number of $k$-th powers inside arithmetic progressions Tijdeman, Diophantine equations and diophantine approximations, Number Theory and Applications (R.A

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T22:10:18.154748Z digest=sha256:dfcf5d07321dfa485381add2775fb46ccf2178554e1e752c94df7ab114605c69

Observation 9036608e-95d6-46d8-8390-637f1e297a5c · outbound

This paper cites van der Waerden, Beweis einer Baudetschen Vermutung, Nieuw Archief voor Wiskunde 19 (1927), 212-216.

A comment on the number of $k$-th powers inside arithmetic progressions van der Waerden, Beweis einer Baudetschen Vermutung, Nieuw Archief voor Wiskunde 19 (1927), 212-216

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source=arxiv_source observed=2026-08-01T22:10:18.342644Z digest=sha256:dfa8dd407cf69401facdd2f2873ebc9a9e244cba26ce699b2a758ae15cf56008

Observation e2fdbe45-8c03-45d7-a00f-f90f8a4d4965 · outbound

This paper cites Saunders, Diophantine equations involving the Euler totient function.

A comment on the number of $k$-th powers inside arithmetic progressions Saunders, Diophantine equations involving the Euler totient function

Reference 79

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source=arxiv_source observed=2026-08-01T22:10:18.499818Z digest=sha256:a550669feed9ee6327eee8392adc7b6bdb298de7a642b2ad0a084afe18817538

Observation 1fe78a22-6816-47ed-a175-d0c476343b61 · outbound

This paper cites Shorey: Diophantine approximations, Diophantine equations, transcendence and applications.

A comment on the number of $k$-th powers inside arithmetic progressions Shorey: Diophantine approximations, Diophantine equations, transcendence and applications

Reference 80

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source=arxiv_source observed=2026-08-01T22:10:18.530948Z digest=sha256:f6d97f770acd6ce29d1f03680429bfb0969d4bc50d01881b96662c2c45d430fc

Observation 1a060b92-05ad-4b72-a5b0-e7179c99c6c5 · outbound

This paper cites Shorey and R.

A comment on the number of $k$-th powers inside arithmetic progressions Shorey and R

Reference 81

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no resolver link, observed 2026-08-01T22:10:18.635453Z

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source=arxiv_source observed=2026-08-01T22:10:18.635453Z digest=sha256:c75da452303f6f60f5ca0204393218bc3fa0faa5e12559516c478621b81b9a19

Observation 9a14e53a-cc77-4141-83d6-b10f3fd32f51 · outbound

This paper cites Siksek: Diophantine equations after Fermat's last theorem.

A comment on the number of $k$-th powers inside arithmetic progressions Siksek: Diophantine equations after Fermat's last theorem

Reference 82

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no resolver link, observed 2026-08-01T22:10:18.720542Z

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source=arxiv_source observed=2026-08-01T22:10:18.720542Z digest=sha256:2e3043bce938376bdba460c9a7362552c1da9ccaa13d581995874cbe6f69ac39

Observation 3c9fb770-9174-409a-8801-f31a1d4015c5 · outbound

This paper cites Takeda, Finiteness of trivial solutions of factorial products yielding a factorial over number fields.

A comment on the number of $k$-th powers inside arithmetic progressions Takeda, Finiteness of trivial solutions of factorial products yielding a factorial over number fields

Reference 83

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no resolver link, observed 2026-08-01T22:10:18.810420Z

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source=arxiv_source observed=2026-08-01T22:10:18.810420Z digest=sha256:24dd903feae7935b4099d56c9d4a7ac2b9eff18f92604e320e885fbb471b0278

Observation d7e0b098-f8ee-41f2-97a3-e6ecc2c41bcc · outbound

This paper cites Takeda, On the finiteness of solutions for polynomial-factorial Diophantine equations.

A comment on the number of $k$-th powers inside arithmetic progressions Takeda, On the finiteness of solutions for polynomial-factorial Diophantine equations

Reference 84

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no resolver link, observed 2026-08-01T22:10:18.900630Z

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source=arxiv_source observed=2026-08-01T22:10:18.900630Z digest=sha256:82cbaebd69ce8044ba785dad4b24118de0387e53cf51a7799d80e80e962c8c22

Observation 8d62102a-8a89-435f-8fb0-8121601c9c28 · outbound

This paper cites Takeda, Product of Factorials Equal Another Product of Factorials.

A comment on the number of $k$-th powers inside arithmetic progressions Takeda, Product of Factorials Equal Another Product of Factorials

Reference 85

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no resolver link, observed 2026-08-01T22:10:18.978467Z

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source=arxiv_source observed=2026-08-01T22:10:18.978467Z digest=sha256:9ebcccff9a18a0512776d5441f6c5f54678de2c57884317cbb3b7e55cabc5231

Observation abcd3665-6c79-4397-ade7-fce8957b1765 · outbound

This paper cites Siegel: Aproximation algebraischer Zahlen.

A comment on the number of $k$-th powers inside arithmetic progressions Siegel: Aproximation algebraischer Zahlen

Reference 86

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source=arxiv_source observed=2026-08-01T22:10:19.055015Z digest=sha256:b8fe8fd59ec5d51da287dcff40fbc6b5728e428301961ed6ab4eb5f7971d44db

Observation b32712e3-4c18-4985-a81d-80986987ccd3 · outbound

This paper cites Tijdeman: Applications of the Gel'fond--Baker method to rational number theory.

A comment on the number of $k$-th powers inside arithmetic progressions Tijdeman: Applications of the Gel'fond--Baker method to rational number theory

Reference 87

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no resolver link, observed 2026-08-01T22:10:19.135382Z

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source=arxiv_source observed=2026-08-01T22:10:19.135382Z digest=sha256:3306741a58526890e4d74815d7f00cc43cf7aa9edf0bfb3f7ea719e5daaaa1d2

Observation c861acb4-c875-46dd-b278-565f692ac6a9 · outbound

This paper cites Ulas, Some observations on the Diophantine equation y^2=x!+A and related results.

A comment on the number of $k$-th powers inside arithmetic progressions Ulas, Some observations on the Diophantine equation y^2=x!+A and related results

Reference 88

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source=arxiv_source observed=2026-08-01T22:10:19.208268Z digest=sha256:003c0494d20a8dfd2818df919fd04dbe0f1efa70025127ea02ff440bf68c6c71

Observation e6d82c1a-2659-422e-bc12-4d0fbe3a0ad1 · outbound

This paper cites Ulas, Some experiments with Ramanujan--Nagell type Diophantine equations.

A comment on the number of $k$-th powers inside arithmetic progressions Ulas, Some experiments with Ramanujan--Nagell type Diophantine equations

Reference 89

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no resolver link, observed 2026-08-01T22:10:19.282160Z

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source=arxiv_source observed=2026-08-01T22:10:19.282160Z digest=sha256:f9019f9fe5dc0fddc6f35125f82d695984eb1e8e223ff63606a5d561fccfb8fe

Observation 394978c5-ff80-462b-8824-818d649d8a21 · outbound

This paper cites Yamada, A generalization of the Ramanujan--Nagell equation.

A comment on the number of $k$-th powers inside arithmetic progressions Yamada, A generalization of the Ramanujan--Nagell equation

Reference 90

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source=arxiv_source observed=2026-08-01T22:10:19.361248Z digest=sha256:0975805633f7e7856909e3427b064b3c3e2efe58a89c3f3fef99496fd968972b

Pith citing papers

No inbound Pith citation observations are available.