Paper Citation Record · LEDGER

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups

As of 18 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 2 inbound Pith citation observations for arXiv:1908.08296.

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

pith.paper-citation-record.v1
1908.08296 v2

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:19:00.132111Z

measured 46 of 46 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:36:51.162959Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T08:43:10.052195Z

Reference resolution

44 of 44 outbound references displayed

verified exact22
verified fuzzy3
unresolved19
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External citation measurements

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Outbound references

Observation 3a43b6e8-5d56-4ad9-a50f-b7c3c99d5587 · outbound

This paper cites Fourier coefficients attached to small automorphic representations of ${\mathrm{SL}}_n(\mathbb{A})$.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Fourier coefficients attached to small automorphic representations of ${\mathrm{SL}}_n(\mathbb{A})$

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.487342Z

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 e47caa1d-edbe-4d12-9bea-a45e907452db · outbound

This paper cites Brylinski and P.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Brylinski and P

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T12:18:59.991003Z

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Observation 42e3bb45-af97-4e8d-ab18-68c2040a4129 · outbound

This paper cites Instanton Corrections to the Universal Hypermultiplet and Automorphic Forms on SU(2,1).

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Instanton Corrections to the Universal Hypermultiplet and Automorphic Forms on SU(2,1)

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.476618Z

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

Observation a4b1e43d-0433-4b23-a3f0-78d78d4caa67 · outbound

This paper cites Bourbaki, \' E l\' e ments de math\' e matique.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Bourbaki, \' E l\' e ments de math\' e matique

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:19:00.529165Z

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

Observation e3aae591-4d99-4d6f-bd47-339c2b74de27 · outbound

This paper cites Exact $\nabla^4 R^4$ couplings and helicity supertraces.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Exact $\nabla^4 R^4$ couplings and helicity supertraces

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.465535Z

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 aaa4a918-2d70-4683-b187-cde42820fbbe · outbound

This paper cites an unresolved cited work.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:00.520277Z

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Observation ffbf128e-6eea-4b04-8d1c-9e6158e18d77 · outbound

This paper cites Casselman and J.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Casselman and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:19:00.512511Z

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Observation 32e70ff3-e2eb-42bf-80e6-2c8bead33674 · outbound

This paper cites D'Hoker, M.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups D'Hoker, M

Reference 8

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.294259Z

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Observation aa1144a8-4c8f-417f-af50-17d896342a65 · outbound

This paper cites Eisenstein series and automorphic representations.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Eisenstein series and automorphic representations

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.453823Z

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

Observation 523e2301-048c-444c-bcad-7ffebe44b467 · outbound

This paper cites Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.442450Z

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 d63f14c0-ad7e-46cc-a065-f4b99f34f06d · outbound

This paper cites Effects of D-instantons.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Effects of D-instantons

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.024459Z

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Observation e7412a50-e1a3-4991-abe4-451247ef7b46 · outbound

This paper cites D-particle bound states and the D-instanton measure.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups D-particle bound states and the D-instanton measure

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.027946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6537ed83-0c62-4b99-b5be-a2918e28254d · outbound

This paper cites A reduction principle for Fourier coefficients of automorphic forms.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups A reduction principle for Fourier coefficients of automorphic forms

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.417329Z

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

Observation e70002a3-e751-44af-a27c-32fffe410204 · outbound

This paper cites Whittaker supports for representations of reductive groups.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Whittaker supports for representations of reductive groups

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.034855Z

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Observation 8c1b9ebe-76a2-45b4-bb02-9a32b5bc9373 · outbound

This paper cites Gomez, D.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Gomez, D

Reference 15

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.285427Z

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Observation e410a1b1-722c-43a1-b1dd-2380a0c409af · outbound

This paper cites Ginzburg, ``Certain conjectures relating unipotent orbits to automorphic representations,'' http://dx.doi.org/10.1007/BF02777366 Israel J.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Ginzburg, ``Certain conjectures relating unipotent orbits to automorphic representations,'' http://dx.doi.org/10.1007/BF02777366 Israel J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.042313Z

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Observation 28efa736-b39d-49eb-94e2-7eb6ec778595 · outbound

This paper cites an unresolved cited work.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.045630Z

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Unavailable: canonical work link unavailable.

Observation 7e2157fe-5f91-4bcf-aecb-f29433f9e2a6 · outbound

This paper cites Small automorphic representations and degenerate Whittaker vectors.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Small automorphic representations and degenerate Whittaker vectors

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.048631Z

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Unavailable: canonical work link unavailable.

Observation 10852cbf-9c88-41b0-a3f6-7b228095a128 · outbound

This paper cites Small representations, string instantons, and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and P. Trapa).

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Small representations, string instantons, and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and P. Trapa)

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.051961Z

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Unavailable: canonical work link unavailable.

Observation 89228879-e5dd-4c08-ae53-30384140b3f6 · outbound

This paper cites Ginzburg, S.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Ginzburg, S

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.055028Z

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Observation ceffd3ad-fc7a-4baf-93e7-311e306c400e · outbound

This paper cites Ginzburg, S.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Ginzburg, S

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.058130Z

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Observation aa38de41-a6cb-4538-8b6d-a3a06559de66 · outbound

This paper cites an unresolved cited work.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.254552Z

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 9577bba4-9135-48ee-bb43-099fdddc8f7a · outbound

This paper cites Generalized and degenerate Whittaker quotients and Fourier coefficients.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Generalized and degenerate Whittaker quotients and Fourier coefficients

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.384190Z

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

Observation e89c5483-5fe2-402c-969a-528cb9960be5 · outbound

This paper cites an unresolved cited work.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.245306Z

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

Observation a6aa8dda-ebaf-46be-922b-4533b25ba48d · outbound

This paper cites Hartshorne, Algebraic geometry.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Hartshorne, Algebraic geometry

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:19:00.504469Z

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

Observation 55e83910-5104-45de-9e56-8a387d734108 · outbound

This paper cites Unity of Superstring Dualities.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Unity of Superstring Dualities

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.074483Z

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Observation fd38c3dd-2ce2-4cf6-82b1-b9d9bceff036 · outbound

This paper cites Jiang, B.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Jiang, B

Reference 27

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.235944Z

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Observation b9f1f6f5-f528-4455-8a16-8ebc0b6df477 · outbound

This paper cites Minimal representations: spherical vectors and automorphic functionals.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Minimal representations: spherical vectors and automorphic functionals

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.365875Z

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

Observation 2fe0a118-b1d8-4371-99f6-8857e29b020c · outbound

This paper cites Kobayashi and G.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Kobayashi and G

Reference 29

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.225805Z

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

Observation 57cb5244-f5a0-4709-99a4-5c041c24af82 · outbound

This paper cites Matrix String Partition Functions.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Matrix String Partition Functions

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.354305Z

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

Observation 4c7ddae2-1530-4199-8941-7f314f422935 · outbound

This paper cites Matumoto, ``Whittaker vectors and associated varieties,'' http://dx.doi.org/10.1007/BF01404678 Invent.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Matumoto, ``Whittaker vectors and associated varieties,'' http://dx.doi.org/10.1007/BF01404678 Invent

Reference 31

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.217559Z

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

Observation 835f914f-c8ad-42b2-860a-3901527d685f · outbound

This paper cites D-particle bound states and generalized instantons.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups D-particle bound states and generalized instantons

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.094626Z

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Unavailable: canonical work link unavailable.

Observation 8050c742-2848-4ea4-b65d-0563484c687a · outbound

This paper cites an unresolved cited work.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.097838Z

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Observation 37ac9473-ad61-42a9-8d0d-aed63123b948 · outbound

This paper cites M glin and J.-L.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups M glin and J.-L

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.101658Z

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Observation 47d17e62-9cfe-4f6d-842b-8f125f20a3cc · outbound

This paper cites M glin and J.-L.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups M glin and J.-L

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.104648Z

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Observation b2177843-4f85-472c-8e5b-7ce392a151b2 · outbound

This paper cites an unresolved cited work.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.194111Z

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Observation bd9bc53a-1e9e-405e-95c9-db4dbf988926 · outbound

This paper cites Automorphic Instanton Partition Functions on Calabi-Yau Threefolds.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Automorphic Instanton Partition Functions on Calabi-Yau Threefolds

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.334398Z

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

Observation 86e3124b-7ac3-43f1-8615-b65424e10714 · outbound

This paper cites $R^4$ couplings and automorphic unipotent representations.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups $R^4$ couplings and automorphic unipotent representations

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.113771Z

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Unavailable: canonical work link unavailable.

Observation 15da8a39-62f6-4109-9e91-1005d29994e6 · outbound

This paper cites The automorphic NS5-brane.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups The automorphic NS5-brane

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:00.312198Z

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

Observation c20f45db-532a-49b6-b9e5-6d1961925dea · outbound

This paper cites an unresolved cited work.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:00.496154Z

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 c84e1ea1-9f3e-4228-b2cc-6ef9e49f62a2 · outbound

This paper cites Rossmann, ``Picard- L efschetz theory and characters of a semisimple L ie group,'' http://dx.doi.org/10.1007/BF01884312 Invent.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Rossmann, ``Picard- L efschetz theory and characters of a semisimple L ie group,'' http://dx.doi.org/10.1007/BF01884312 Invent

Reference 41

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.184375Z

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

Observation 227a1427-8d46-4cfc-86ee-4a1f37421935 · outbound

This paper cites an unresolved cited work.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:00.125622Z

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Unavailable: canonical work link unavailable.

Observation 0675af58-168a-4891-a332-64dd4138d8a8 · outbound

This paper cites Varma, ``On a result of M oeglin and W aldspurger in residual characteristic 2,'' http://dx.doi.org/10.1007/s00209-014-1292-8 Math.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Varma, ``On a result of M oeglin and W aldspurger in residual characteristic 2,'' http://dx.doi.org/10.1007/s00209-014-1292-8 Math

Reference 43

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.169982Z

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

Observation fa106f1a-403f-436d-ba14-2fcfe06a18f3 · outbound

This paper cites an unresolved cited work.

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups Unresolved cited work

Reference 44

Resolution: verified exact; doi, observed 2026-08-14T12:19:00.160512Z

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

Pith citing papers

Observation 2c229e6d-de24-4ebb-a9eb-1377756aaac6 · inbound

Bounds on the next-to-leading Wilson coefficient in maximal supergravity cites this paper.

Bounds on the next-to-leading Wilson coefficient in maximal supergravity Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-16T10:36:51.162959Z

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Unavailable: canonical work link unavailable.

Observation d563ce25-430b-42be-a1ec-fd0a79854e29 · inbound

Uniqueness of D=8 minimal supergravity with two vector multiplets cites this paper.

Uniqueness of D=8 minimal supergravity with two vector multiplets Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:43:10.053731Z

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.