Paper Citation Record · LEDGER

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation

As of 18 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:1908.07205.

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pith.paper-citation-record.v1
1908.07205 v3

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:29:24.347655Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

36 of 36 outbound references displayed

verified exact4
verified fuzzy26
unresolved6
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6e651c31-a441-4861-9b89-0b862a450fe0 · outbound

This paper cites Triple product p-adic L-functions associated to finite slope p-adic families of modular forms, with an appendix by Eric Urban.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Triple product p-adic L-functions associated to finite slope p-adic families of modular forms, with an appendix by Eric Urban

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:29:24.523511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fb796ed4-9be9-4f87-b9cb-1bc7f9134b8e · outbound

This paper cites Bellaiche and G.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Bellaiche and G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.935247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 954504d1-1f13-4994-a610-cff901f403cf · outbound

This paper cites In The Grothendieck Festschrift, Vol.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation In The Grothendieck Festschrift, Vol

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.922690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4c1f5f5b-1f45-42b3-95ae-26f78e380b53 · outbound

This paper cites Casselman and F.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Casselman and F

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.909780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 92772a00-a424-4488-9c6a-d80a18de4f2a · outbound

This paper cites p-adic L-functions for unitary groups.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation p-adic L-functions for unitary groups

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:29:24.481181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 00f6a3db-c634-49bd-bb45-9086f7f1c3d3 · outbound

This paper cites Eischen, p-adic diﬀerential operators on automorphic forms on unitar y groups.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Eischen, p-adic diﬀerential operators on automorphic forms on unitar y groups

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.894716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f65f9bae-3c00-49aa-a288-756d1c1f57cf · outbound

This paper cites Eischen, A p-adic Eisenstein Measure for Unitary Groups.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Eischen, A p-adic Eisenstein Measure for Unitary Groups

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.882324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a403a653-a91b-48ad-a327-3055e1d7ceb0 · outbound

This paper cites Eischen and X.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Eischen and X

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.869227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 38773f30-3639-424b-b584-8fda4982f3bf · outbound

This paper cites http://www-math.mit.edu/~etingof/replect.pdf.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation http://www-math.mit.edu/~etingof/replect.pdf

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.856517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9684c0a3-834c-4ab9-9637-fee04fac3468 · outbound

This paper cites Fulton, Joe Harris, Representation Theory – a First C ourse, GTM 225, Springer 1991.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Fulton, Joe Harris, Representation Theory – a First C ourse, GTM 225, Springer 1991

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.843365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4bb5bbd4-141e-4af3-bd06-c619588d31db · outbound

This paper cites Greenberg, Iwasawa theory and p-adic Deformations of Motives, Proc.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Greenberg, Iwasawa theory and p-adic Deformations of Motives, Proc

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.830705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 94e9aeac-7eaa-460f-b93f-a2bda763143e · outbound

This paper cites Hida, Control theorems of coherent sheaves on Shimur a varieties of PEL type, Journal of the Institute of Mathematics of Jussieu, 2003, 1(1):1-76.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Hida, Control theorems of coherent sheaves on Shimur a varieties of PEL type, Journal of the Institute of Mathematics of Jussieu, 2003, 1(1):1-76

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.817366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 542bb108-d94e-4d14-8d31-1fb52f4c036a · outbound

This paper cites an unresolved cited work.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:29:24.805022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 145538d9-4836-46bd-a4f8-9994a8c2b8b1 · outbound

This paper cites Eisenstein congruence on unitary groups a nd Iwasawa main conjectures for CM ﬁelds.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Eisenstein congruence on unitary groups a nd Iwasawa main conjectures for CM ﬁelds

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.792297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 19faa421-5acf-47a9-a8f4-d14cd67a13fc · outbound

This paper cites Hsieh, Ordinary p-adic Eisenstein series and p-adicL-functions for unitary groups, Ann.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Hsieh, Ordinary p-adic Eisenstein series and p-adicL-functions for unitary groups, Ann

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.778314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e182e8d2-6ccf-4518-8415-ba766be89e6e · outbound

This paper cites Katz, p-adic L-functions for CM ﬁelds, Invent.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Katz, p-adic L-functions for CM ﬁelds, Invent

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.766393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0e5a90af-b720-49cf-95b4-252bcdd27cc8 · outbound

This paper cites Endoscopic Classification of Representations: Inner Forms of Unitary Groups.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Endoscopic Classification of Representations: Inner Forms of Unitary Groups

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T12:29:24.172176Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2103748c-4857-4557-b5e9-3c6c70235bb8 · outbound

This paper cites 144 (2008) 1107- 1154.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation 144 (2008) 1107- 1154

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.754752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 43cab3ee-ba6b-4d0b-b6e9-154da7146bb9 · outbound

This paper cites Kudla and W.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Kudla and W

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.742699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5adeede9-a0fe-447c-8e3f-1d24b6f6aeda · outbound

This paper cites Lan, Arithmetic compactiﬁcations of PEL-type Sh imura varieties, London Mathematical Society Monographs, vol.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Lan, Arithmetic compactiﬁcations of PEL-type Sh imura varieties, London Mathematical Society Monographs, vol

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.729753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c8066cb5-e1ba-47d4-911b-757e665ca8a4 · outbound

This paper cites Liu, p-adicL-functions for Ordinary Families on Symplectic Groups, pre print, 2016.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Liu, p-adicL-functions for Ordinary Families on Symplectic Groups, pre print, 2016

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.715855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7f35ca90-edfa-4c0a-944c-d58d303d1404 · outbound

This paper cites Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of $p$-adic $L$-functions.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of $p$-adic $L$-functions

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:29:24.433123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4c84962c-dc4f-45ee-b65a-f60e11f6a7c5 · outbound

This paper cites The doubling Archimedean zeta integrals for p-adic interpolation.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation The doubling Archimedean zeta integrals for p-adic interpolation

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:29:24.409577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 25d867b0-cb08-4207-a135-0734796909a8 · outbound

This paper cites Mok, Endoscopic classiﬁcation of representation s of quasi-split unitary groups, Memoirs of the American Mathematical Society, Volume 235, Number 11 08, 2015.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Mok, Endoscopic classiﬁcation of representation s of quasi-split unitary groups, Memoirs of the American Mathematical Society, Volume 235, Number 11 08, 2015

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.702727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c18cbd69-5134-4c59-b338-33a0cf2bb4b6 · outbound

This paper cites Pilloni, S.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Pilloni, S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.690046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3e6fdb4f-9460-415b-a8c0-8dd5416db131 · outbound

This paper cites Shimura, Euler products and Eisenstein series, CBMS R egional Conference Series in Math- ematics 93, American Mathematical Society, Providence, RI , 1997.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Shimura, Euler products and Eisenstein series, CBMS R egional Conference Series in Math- ematics 93, American Mathematical Society, Providence, RI , 1997

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.676126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f7ae750e-5c01-4b26-a68d-9f99f8f590ae · outbound

This paper cites Shimura, Arithmeticity in the theory of automorphic forms, Mathematical Surveys and Monographs, 82.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Shimura, Arithmeticity in the theory of automorphic forms, Mathematical Surveys and Monographs, 82

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.663331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 41d315e0-00db-4ad9-9dbd-ec8eb62210c6 · outbound

This paper cites an unresolved cited work.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:29:24.650648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e2fc5434-b2c7-4cd3-ae92-8c096a70f920 · outbound

This paper cites The Iwasawa mai n conjectures for GL2.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation The Iwasawa mai n conjectures for GL2

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.638842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6007f596-6d59-404d-a6df-e9477452e287 · outbound

This paper cites an unresolved cited work.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:29:24.625728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation be251209-fa90-44e5-a96f-b56ec85f8e18 · outbound

This paper cites Urban, Eigenvarieties for reductive groups, Ann.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Urban, Eigenvarieties for reductive groups, Ann

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.610304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9df33da1-a5f2-4b29-bf47-03cdc2d47149 · outbound

This paper cites Wan, Families of nearly ordinary Eisenstein series o n unitary groups (with an Appendix by Kai-Wen Lan), Algebra and Number Theory (2015): 1955-2054.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Wan, Families of nearly ordinary Eisenstein series o n unitary groups (with an Appendix by Kai-Wen Lan), Algebra and Number Theory (2015): 1955-2054

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.594725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8da45db1-1be1-4c38-b93b-8b52015e07b7 · outbound

This paper cites Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T12:29:24.331037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa263a0b-7010-4fa8-a3cd-503910199388 · outbound

This paper cites an unresolved cited work.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:29:24.579694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a4c8ea25-457f-4bb9-bfe6-f951ff1b1430 · outbound

This paper cites Wiles, The Iwasawa conjecture for totally real ﬁelds , Ann.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Wiles, The Iwasawa conjecture for totally real ﬁelds , Ann

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.560198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a1dd37ba-e57d-4cd1-ab00-b933358ce14e · outbound

This paper cites Zhang, The holomorphy and non-vanishing of local int ertwining operators, Paciﬁc Journal of Mathematics, Vol.

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation Zhang, The holomorphy and non-vanishing of local int ertwining operators, Paciﬁc Journal of Mathematics, Vol

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:29:24.539122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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