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Paper Citation Record · LEDGER

Infinite Summation Formulas Involving Riemann-Zeta function

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.09468.

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

pith.paper-citation-record.v1
1908.09468 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:20:02.884930Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

19 of 19 outbound references displayed

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  • verified fuzzy19
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8c8717b9-22e5-43c0-b809-d5f05847cfe3 · outbound

This paper cites Ablinger, Discovering and proving infinite binomial sums identities , Experimental Mathematics.

Infinite Summation Formulas Involving Riemann-Zeta function Ablinger, Discovering and proving infinite binomial sums identities , Experimental Mathematics

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.196577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.796025Z digest=sha256:c170a7ccb277b91ed5ae0ed75a296e18549040c1d7dd7e5f9d48b6d6a0b8d606

Observation 7510bb8b-677a-42b3-aac4-8d5ca7fa62ef · outbound

This paper cites Andrews, R.

Infinite Summation Formulas Involving Riemann-Zeta function Andrews, R

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.182249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.805199Z digest=sha256:bd68f729a1c152c8fd69bcffcc4d8f044453bae658989f53618842a91add0f25

Observation f34bb5ce-407a-428e-a8b7-460f6075d2d1 · outbound

This paper cites Berndt, Ramanujan’s Notebooks, Part I, Springer, N ew York, 1985.

Infinite Summation Formulas Involving Riemann-Zeta function Berndt, Ramanujan’s Notebooks, Part I, Springer, N ew York, 1985

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.167718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.810037Z digest=sha256:c66d9fb359a13a15721d81b5ba7fd7ce6ed4d7cff8b333fa7d37e0884f7cb85a

Observation 698e09f6-dbe6-4509-98cd-ef3a30c91a39 · outbound

This paper cites Borwein and J.M.

Infinite Summation Formulas Involving Riemann-Zeta function Borwein and J.M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.151687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.814783Z digest=sha256:3eca929a50a0b4a0419e6f0be39714a85055c35b2c9cdc85610d4e15f94ffdb4

Observation 7f33da6c-a39f-4da5-9065-993efd43e9b3 · outbound

This paper cites Chen and W.

Infinite Summation Formulas Involving Riemann-Zeta function Chen and W

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.136279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.819483Z digest=sha256:5ab25d6ac34c7260437d97674a1780aae09b67cd172fc2af1ef82b0eed1999be

Observation c3dcc69e-c33b-4daa-a669-97dd4b7b874c · outbound

This paper cites Choi and H.M.

Infinite Summation Formulas Involving Riemann-Zeta function Choi and H.M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.121380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.824723Z digest=sha256:007789cbc9c5040a0c0cd0677f6d6e2047f714d62c1a6ac10cdbd6c1d55eb371

Observation b319af6c-5f0c-409a-a21a-3d888fa4ae85 · outbound

This paper cites Choi and H.M.

Infinite Summation Formulas Involving Riemann-Zeta function Choi and H.M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.106951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.830266Z digest=sha256:20341460f95e6e0bb2fa9226f8e38ea216087737f47ffe5b1c038ff1d7b303e2

Observation a7e5d375-f45f-40dc-80a9-b638be479000 · outbound

This paper cites Chu, Hypergeometric series and the Riemann Zeta function , Acta Arith.

Infinite Summation Formulas Involving Riemann-Zeta function Chu, Hypergeometric series and the Riemann Zeta function , Acta Arith

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.091938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.834727Z digest=sha256:1b67ef2a067f13f3f2b990530ef8d32c439c9c0e243c985e552ec94231472b2c

Observation 623afe70-2d16-4ce5-92dc-faf9f106152d · outbound

This paper cites De Doelder, On some series containing ψ (x) − ψ (y) and [ψ (x) − ψ (y)]2 for certain values of x and y, J.

Infinite Summation Formulas Involving Riemann-Zeta function De Doelder, On some series containing ψ (x) − ψ (y) and [ψ (x) − ψ (y)]2 for certain values of x and y, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.077567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.839436Z digest=sha256:65bf17a659eeb2fe02d84ec7779a437f2b6358ab0e7b9f135236dbe4979aadf2

Observation 11c10bd7-a220-4b60-bc5d-03f6aed85477 · outbound

This paper cites Flajolet, Euler sums and contour integral representations , Experiment.

Infinite Summation Formulas Involving Riemann-Zeta function Flajolet, Euler sums and contour integral representations , Experiment

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.062438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.844119Z digest=sha256:4172fc8437c083f13603be88f3c5bde2a253be905059379fff3b7580052be7c4

Observation 2ee77355-637a-445f-9517-983cd20e1f89 · outbound

This paper cites Macdonald, Symmetric Function and Hall Polynomia ls, Oxford Univ.

Infinite Summation Formulas Involving Riemann-Zeta function Macdonald, Symmetric Function and Hall Polynomia ls, Oxford Univ

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.047598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.849411Z digest=sha256:8fca6e3081df5424d82a7796d4d69a648262183c10dc6087238bea60e69f5560

Observation 9ba6f1ed-2f44-4d51-a85e-42c74e13b452 · outbound

This paper cites Rainville, Special Functions, Macmillan, New Yor k, 1960, Reprinted by Chelsea Publishing, Bronx, New York; 1971.

Infinite Summation Formulas Involving Riemann-Zeta function Rainville, Special Functions, Macmillan, New Yor k, 1960, Reprinted by Chelsea Publishing, Bronx, New York; 1971

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.032534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.853907Z digest=sha256:551006e0ac3c1cf3810031d3ea8be2387a5c771b85a41a698894630249c32b98

Observation c1c3cb78-ae5f-44c0-a842-4dfe12e47fc2 · outbound

This paper cites Shen, Remarks on some integrals and series involving the Stirling numbers and ζ(n), Trans.

Infinite Summation Formulas Involving Riemann-Zeta function Shen, Remarks on some integrals and series involving the Stirling numbers and ζ(n), Trans

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:03.016464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.858345Z digest=sha256:e449981067cffdbc46b811ec3fb746c8340fecfbb482c4b52dd8dca55d867732

Observation 2e26dccd-fe23-4c72-8a3d-65a886a96519 · outbound

This paper cites Slater, Generalized Hypergeometric Functions, C ambridge Univ.

Infinite Summation Formulas Involving Riemann-Zeta function Slater, Generalized Hypergeometric Functions, C ambridge Univ

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:02.999900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.862840Z digest=sha256:4721674f6a0e6de3000ec4fea3f2a852e8cef249070ff35e0e24a82539d9f85d

Observation a188d834-0977-492e-9767-097825183edc · outbound

This paper cites Sun, New series for some soecial values of L-functions, Journal of Nanjing University, 2015.

Infinite Summation Formulas Involving Riemann-Zeta function Sun, New series for some soecial values of L-functions, Journal of Nanjing University, 2015

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:02.983214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.867222Z digest=sha256:fe07ab80abecd5898afc99cd45e22065d770dd8a47018d748d18ff259c92a0fb

Observation 43280630-d419-418d-8343-64945998ad4f · outbound

This paper cites W ang, A nonterminating 7F6-series evaluation , Integral Transforms and Special Function.

Infinite Summation Formulas Involving Riemann-Zeta function W ang, A nonterminating 7F6-series evaluation , Integral Transforms and Special Function

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:02.967516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.871701Z digest=sha256:f59a412a91c6a4fbc1add91c3eadab2538339f43d684fb7884004c4d88b2f34e

Observation 7473128d-e241-44c8-bb05-323115ed27ed · outbound

This paper cites W ang and Y.

Infinite Summation Formulas Involving Riemann-Zeta function W ang and Y

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:02.951617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.876101Z digest=sha256:e307b237e3792525cf484083b6406a7b6aa68833cf60bf0d90ce4af50f20ab9d

Observation c70a8d82-ff37-43d4-ae21-a10fa0230610 · outbound

This paper cites W ei and X.

Infinite Summation Formulas Involving Riemann-Zeta function W ei and X

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:02.936697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.880641Z digest=sha256:734ea318c70010b00513065eac02c5181cdfa482d124d00d8e3c9cdb9aa32737

Observation eabe10a0-81cc-4ebb-8dd8-992ba61bcde9 · outbound

This paper cites Zheng, Further summation formulae related to generalized harmoni c numbers , J.

Infinite Summation Formulas Involving Riemann-Zeta function Zheng, Further summation formulae related to generalized harmoni c numbers , J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:20:02.921392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:20:02.884930Z digest=sha256:efda3095410d1a809cc455b5e98fd78d24976042675a589102d137372f21be4a

Pith citing papers

No inbound Pith citation observations are available.