Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T22:10:19.361248Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T22:10:19.361248Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
90 of 90 outbound references displayed
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Observation afc456c9-0ef1-4267-ab81-e6b77f2b7209 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Bombieri, A
Reference 1
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Observation ce62160d-a315-4c42-886b-21ee430d4e28 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Bombieri and U
Reference 2
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Observation f0adfaa7-ec36-4693-99f7-c230d8b77642 · outbound
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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Observation f0bd4871-9228-45bb-837b-5ace33a5847d · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Cilleruelo and A
Reference 4
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Observation 100a8848-f25e-4cdf-9c81-3a25f9ca9f0e · outbound
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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Observation 001c8d84-7aab-45bb-8f6b-6b80d86dddec · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Hajdu and \'A
Reference 6
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Observation b53428eb-9d64-44dd-ba03-733fdbf265ac · outbound
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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Observation c5909c67-a894-486c-af4a-4b44a9c5971f · outbound
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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Observation c9013b8e-234f-43be-a020-67ffe6b4b1c3 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Alzer and F
Reference 9
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Observation 7aeee612-026b-4f4f-8e4a-2edc86a1da49 · outbound
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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Observation 64416251-bb3d-4d52-a28c-d1a867c0af02 · outbound
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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Observation 87b97687-cc21-47b7-97aa-22973271ca3d · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Baczkowski, M
Reference 12
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Observation bd66d6e8-6868-4764-8200-7e5ac54d69f3 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Baczkowski and S
Reference 13
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Observation e33ce908-9a80-4fa7-af08-c39d22446799 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Baker, Experiments on the abc-conjecture
Reference 14
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Observation 97d08bbd-f3c4-4c49-a1a3-06f409559c13 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Bennett, K
Reference 15
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Observation a855bd4c-64c5-43a7-a052-034043a6bce3 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work
Reference 16
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Observation a76d44cd-0da3-4a02-9dc9-3989345c0ef3 · outbound
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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Observation 26268e45-948e-413b-8c38-d24938366ad8 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work
Reference 18
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Observation 2b4d7a59-3453-47f2-a4db-734f5f9ba87a · outbound
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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Observation 4f38685e-cfe0-4fa9-a24e-3b612b67c23e · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Berend and C.F
Reference 20
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Observation 077e16d7-6dea-4747-bbba-f27540088b94 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Berend and J.E
Reference 21
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Observation e46add81-f9c9-4d52-a341-6a226f463e20 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Berndt and W.F
Reference 22
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Observation ac34938c-cc66-46e3-88d0-3c39c90a1fc4 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Brocard: Question 1532
Reference 23
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Observation a6c225c1-7683-4a32-9738-078ba461d374 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Bruin, K
Reference 24
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Observation b3ec7065-34b6-44ef-9070-5be3f2263880 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Darmon and A
Reference 25
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Observation 37b8b036-a3e9-4726-8e50-e186dd15b2ae · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Darmon and L
Reference 26
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Observation 1f4b1480-1550-4495-9fb8-68b6b282ff0c · outbound
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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Observation 016e57fe-1ca0-415d-bad0-3ecdad1aba45 · outbound
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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Observation ef29b5b8-a345-4d18-8dd7-0b4f02a1f69b · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Erd o s and R
Reference 29
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Observation df6d9d0a-2d29-4fe5-9a95-6d7c1af74fa6 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Erd o s, On consecutive integers
Reference 30
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Observation 456e1aa9-d8b2-49a1-a6a2-da6c8882d445 · outbound
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
Reference 31
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Observation 71ef2259-07d2-4d0c-82bc-25645d822004 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Bugeaud, M
Reference 32
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Observation 7f7da98b-5b51-42f4-94eb-0e635688f6a8 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work
Reference 33
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Observation eddcb5b4-ccde-4b3f-bbe0-4cad972bdf60 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Dabrowski, On the equation n!+A=y^2
Reference 34
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Observation e550c997-5583-4d84-a5c7-649445f84abe · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Dabrowski: On the Brocard--Ramanujan problem and generalizations
Reference 35
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Observation ec60503d-57e1-46c4-a841-8af5dbd77c9d · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Dabrowski and M
Reference 36
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Observation d8c0d6c7-ed0c-41ca-9953-0d1b03a473fc · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Epstein and J
Reference 37
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Observation f487ef63-29c5-43ff-8a1e-9d259a0eedaa · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Dufour and O
Reference 38
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Observation 11a79683-15bd-43ee-9cc0-30e91431d113 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work
Reference 39
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Observation f5bfe49c-5b03-4624-a331-1304aa290b2e · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Hardy and E.M
Reference 40
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Observation 674e766a-d06b-48a2-b7ca-25cea2b312ad · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Janusz, Algebraic number fields, Academic Press, New York and London (1973)
Reference 41
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Observation fac31eb6-bcd7-4b80-a527-7047a23e1aa3 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Erd o s and R.L
Reference 42
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Observation 46c750fa-0896-48d3-88e8-63042ea4bc31 · outbound
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
Reference 43
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Observation 6137063e-0142-4641-92e2-e2d297062a39 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Gy o ry, L
Reference 44
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Observation be203108-cbb5-450c-b095-1ba135c8fd95 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Hajdu, Perfect powers in arithmetic progression
Reference 45
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Observation 0482726e-22d2-49ed-8708-0ccf7f242c2e · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Kihel and F
Reference 46
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Observation 728c9aa3-83f6-4491-8633-4a49891f439f · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Lang: Old and new conjectured diophantine inequalities
Reference 47
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Observation 9130cbe3-b501-441e-9d68-6d51d5a1cbab · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Halberstam and H.-E
Reference 48
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Observation 638d4251-a219-4d81-8572-e6d4f3d90a28 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Gawron, A note on the Diophantine equation P(z)=n!+m!
Reference 49
Source-reported events for the cited work
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Observation bec3085d-6f85-4610-8626-144e79625b0e · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Guy, Unsolved problems in number theory
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 258490f5-e885-4fd1-881d-45a931b365f7 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Lang, Old and new conjectured Diophantine inequalities
Reference 51
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Observation 1e57b86d-3f46-4de9-a8f8-2e2b223b4ce3 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Luca, Equations involving arithmetic functions of factorials
Reference 52
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Observation 6cf66894-fdd1-4a57-99e1-7d7d7e2d8b07 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Laishram and T.N
Reference 53
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Observation 56fb5443-21a9-47cd-96ba-e710f55f0704 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Luca, The Diophantine equation P(x)=n! and a result of M
Reference 54
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Observation 02f61ab5-06f8-4041-8f33-bf1c6d20b249 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Luca, On factorials which are products of factorials
Reference 55
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Observation fe74e8b5-3896-4a01-96f7-ca9c2e2a786d · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work
Reference 56
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Observation 5525706a-edef-4586-ab7e-07e564d01664 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Luca, On the Diophantine equations f(n)=u!+v!
Reference 57
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Observation c3557142-dc3f-4e34-96fc-8beafd52bd8f · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Matson, Brocard's problem 4th solution search utilizing quadratic residues
Reference 58
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Unavailable: canonical work link unavailable.
Observation be49a03f-3f13-4d44-8309-f6cb9045aa2a · outbound
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
Reference 59
Source-reported events for the cited work
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Observation 79771f21-056f-4570-9ea1-63444712ceec · outbound
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
Reference 60
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Unavailable: canonical work link unavailable.
Observation e2b70336-eaa4-4fc3-953a-5d47b3235e66 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work
Reference 61
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Observation a961ab4d-0d90-4c6f-bcd8-bb1f1ecd3ba1 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Unresolved cited work
Reference 62
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Observation 99b1dd69-92a0-4fd2-8f4b-806c415ab3ce · outbound
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
Reference 63
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Unavailable: canonical work link unavailable.
Observation ff8d7edd-a21a-44ee-af30-1777a12b8885 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Novakovi\'c, Diophantine equations involving double factorials, arXiv:2510.24312
Reference 64
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Observation bffc4566-1e82-4228-9e17-1bd711792afd · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Novakovi\'c, A note on some polynomial-factorial Diophantine equations
Reference 65
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Observation e8faf17e-56d8-496e-b55a-723cb59767aa · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Administrative Law's Fourth Settlement: AI and the Scrutable State
Reference 66
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Observation 6ba5b4d7-030f-41a6-a2b4-7e91e36dd871 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions On the diophantine equation $An!+Bm!=f(x,y)$
Reference 67
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Unavailable: canonical work link unavailable.
Observation dfe18fde-adeb-4f7b-ab75-d2befd3e0b9e · outbound
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
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0db6493e-b9b0-4337-8dd9-eb24066bd971 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Overholt, The Diophantine equation n!+1=m^2
Reference 69
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Observation 09131aa6-0452-40c4-82d9-242dfcd75357 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Pollack and H.N
Reference 70
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Observation 05f6e6fe-0949-4fa7-a4bb-a85568b10def · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Ramanujan, Question 469
Reference 71
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Observation c994cfb5-6d18-44fb-bb43-9b0883ec37da · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Rosser and L
Reference 72
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Observation 1f780ae3-6562-407b-ad80-1305b69dc7c6 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Saradha and T.N
Reference 73
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Observation a615ae40-23d2-4b10-9d2e-ad67df398a36 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Shorey, Exponential diophantine equations invilving products of censecutive integers and related equations
Reference 74
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eae8909e-155c-4725-9682-53433c8dda55 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Shorey, Powers in arithmetic progression, A Panorama in Number Theory (G
Reference 75
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Unavailable: canonical work link unavailable.
Observation f0d5040a-6429-46f3-8214-602426d39557 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Shorey and R
Reference 76
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Observation 6fc5466a-dced-437b-93b2-e5ef4cf897c2 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Tijdeman, Diophantine equations and diophantine approximations, Number Theory and Applications (R.A
Reference 77
Source-reported events for the cited work
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Observation 9036608e-95d6-46d8-8390-637f1e297a5c · outbound
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
Reference 78
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Observation e2fdbe45-8c03-45d7-a00f-f90f8a4d4965 · outbound
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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Unavailable: canonical work link unavailable.
Observation 1fe78a22-6816-47ed-a175-d0c476343b61 · outbound
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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Observation 1a060b92-05ad-4b72-a5b0-e7179c99c6c5 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Shorey and R
Reference 81
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Observation 9a14e53a-cc77-4141-83d6-b10f3fd32f51 · outbound
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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Observation 3c9fb770-9174-409a-8801-f31a1d4015c5 · outbound
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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Observation d7e0b098-f8ee-41f2-97a3-e6ecc2c41bcc · outbound
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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Observation 8d62102a-8a89-435f-8fb0-8121601c9c28 · outbound
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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Observation abcd3665-6c79-4397-ade7-fce8957b1765 · outbound
A comment on the number of $k$-th powers inside arithmetic progressions Siegel: Aproximation algebraischer Zahlen
Reference 86
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Observation b32712e3-4c18-4985-a81d-80986987ccd3 · outbound
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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Observation c861acb4-c875-46dd-b278-565f692ac6a9 · outbound
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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Observation e6d82c1a-2659-422e-bc12-4d0fbe3a0ad1 · outbound
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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Unavailable: canonical work link unavailable.
Observation 394978c5-ff80-462b-8824-818d649d8a21 · outbound
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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Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.