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Paper Citation Record · LEDGER

The divisor of the twisted Selberg zeta function

As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2607.14981.

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

pith.paper-citation-record.v1
2607.14981 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:40:23.917478Z

measured 33 of 33 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T05:45:01.518887Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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External citation measurements

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Outbound references

Observation f19673be-19fe-47ed-aaac-82435d235c09 · outbound

This paper cites Zero is a resonance of every Schottky surface.

The divisor of the twisted Selberg zeta function Zero is a resonance of every Schottky surface

Reference 1

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source=pdf_text observed=2026-08-02T00:40:22.663551Z digest=sha256:ae556b732556ddc79fdeeaaf4bf574073f5553b41b26f3fd31c3541804130ffe

Observation 3174384f-4cef-4fbc-a95b-0d79cd576973 · outbound

This paper cites Barnes.The theory of theG-function.Quart.

The divisor of the twisted Selberg zeta function Barnes.The theory of theG-function.Quart

Reference 2

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source=pdf_text observed=2026-08-02T00:40:22.707587Z digest=sha256:aa86faf46f8bd3faa6acb82ffadbf9e389e90da55ed4c55beda465cc6ef93f65

Observation c053fadb-6643-4419-8ec8-367c20d865f0 · outbound

This paper cites Boas.Entire functions.

The divisor of the twisted Selberg zeta function Boas.Entire functions

Reference 3

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source=pdf_text observed=2026-08-02T00:40:22.789227Z digest=sha256:a2b122e1974aad5f35aeb156458d0efddd35232bf3332e3fb32e3abd63c48646

Observation 0e670728-6183-49bb-8de6-23f86ea33c28 · outbound

This paper cites Borthwick.Spectral theory of infinite-area hyperbolic surfaces.

The divisor of the twisted Selberg zeta function Borthwick.Spectral theory of infinite-area hyperbolic surfaces

Reference 4

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source=pdf_text observed=2026-08-02T00:40:22.895695Z digest=sha256:fa41c150a9cd28a97d0ba3011f0ec07f022e12c16b0a2bb9e3c3fd21447f528b

Observation 766fdddd-53e6-49c5-9c68-bf80a6ca3104 · outbound

This paper cites Borthwick, C.

The divisor of the twisted Selberg zeta function Borthwick, C

Reference 5

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source=pdf_text observed=2026-08-02T00:40:22.977137Z digest=sha256:02f064ab9a2d6b89d97297e90687522f51e85b67b09a6889fc955393558ebd57

Observation 75defdec-ea6c-4eec-a344-119256f16ac0 · outbound

This paper cites Chang and D.

The divisor of the twisted Selberg zeta function Chang and D

Reference 6

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source=pdf_text observed=2026-08-02T00:40:23.034332Z digest=sha256:0ba929175786181f2488b725068e265481c691e76788e15005a087611262ba9f

Observation 6d326f6a-c477-4589-9de2-d3af28671d61 · outbound

This paper cites Chen.An infinitely large napkin.

The divisor of the twisted Selberg zeta function Chen.An infinitely large napkin

Reference 7

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source=pdf_text observed=2026-08-02T00:40:23.092561Z digest=sha256:6391e4747f7e9f0bc24468b07c49bf705ac0c63a57737bd2fc8f0e1aa50208f4

Observation 225cbade-40b1-4b56-80b7-ded51609f46d · outbound

This paper cites https://dlmf.nist.gov/, Release 1.2.7 of 2026-06-15.

The divisor of the twisted Selberg zeta function https://dlmf.nist.gov/, Release 1.2.7 of 2026-06-15

Reference 8

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source=pdf_text observed=2026-08-02T00:40:23.151548Z digest=sha256:4659c88917ecb44833c6e6fd2c5c666a03b5f015c04cbc7c335148a2d9339f6c

Observation 97592906-48d1-4897-8039-54f3a44159df · outbound

This paper cites an unresolved cited work.

The divisor of the twisted Selberg zeta function Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-02T00:40:23.211751Z digest=sha256:eb5e36944cb069bbe42d91aa0f32952db6303eb8e1c05eb5dac92adffdd35780

Observation df8b06be-24b4-4435-8b51-8766e8628679 · outbound

This paper cites an unresolved cited work.

The divisor of the twisted Selberg zeta function Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-02T00:40:23.254030Z digest=sha256:f7cb1a0a22d13237a10451b0ab5b3f5eee027ac6e16f57ff2d944626ffad0240

Observation c9d88195-16e7-4024-9cab-960e42a30952 · outbound

This paper cites Erd´ elyi et al.Higher transcendental functions.

The divisor of the twisted Selberg zeta function Erd´ elyi et al.Higher transcendental functions

Reference 11

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source=pdf_text observed=2026-08-02T00:40:23.293072Z digest=sha256:f5cc875e943a315da73d3b89dc765f2069c88b4f245fdb28d241ca9f20842240

Observation 2c5dd948-eb31-4065-ac9b-76bc585d28d7 · outbound

This paper cites Fedosova and A.

The divisor of the twisted Selberg zeta function Fedosova and A

Reference 12

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source=pdf_text observed=2026-08-02T00:40:23.340619Z digest=sha256:cbe23a10274e2977306bc9ca465d5c77160361f6d25826ad2e210424e1f45a67

Observation 9f32f27b-b82e-4d99-9632-8f957601edbd · outbound

This paper cites Fischer.An approach to the Selberg trace formula via the Selberg zeta-function.

The divisor of the twisted Selberg zeta function Fischer.An approach to the Selberg trace formula via the Selberg zeta-function

Reference 13

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source=pdf_text observed=2026-08-02T00:40:23.394200Z digest=sha256:5d3c4ddf79bfd768958e5155d3ced0c4b28ae86e82285378ca54d63e8a9728f0

Observation 958dc7e1-55b6-49f6-9b94-a77cd6ee39fd · outbound

This paper cites Guillop´ e.Fonctions zˆ eta de Selberg et surfaces de g´ eom´ etrie finie.

The divisor of the twisted Selberg zeta function Guillop´ e.Fonctions zˆ eta de Selberg et surfaces de g´ eom´ etrie finie

Reference 14

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source=pdf_text observed=2026-08-02T00:40:23.471515Z digest=sha256:872b6bff0ef9e028a41e079f27ead44e6cb678628ae45d9fdfcb85fac5513d12

Observation 6a70e689-1112-4958-a582-24723d49fc34 · outbound

This paper cites Mayer.On the thermodynamic formalism for the Gauss map.

The divisor of the twisted Selberg zeta function Mayer.On the thermodynamic formalism for the Gauss map

Reference 15

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source=pdf_text observed=2026-08-02T00:40:23.534919Z digest=sha256:0507f0ce5248d04b5b2300324af91646c04c289d106c33565f126fec10a8fa12

Observation 16b10d2f-65da-4114-912a-e3c5589bc257 · outbound

This paper cites an unresolved cited work.

The divisor of the twisted Selberg zeta function Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-02T00:40:23.575175Z digest=sha256:f40a18d817c1adfe487a775f410298e93577e3bb1a7bed1e35fa5ecb7869ec21

Observation af98278e-0044-44b8-9c11-36fabfb20378 · outbound

This paper cites M¨ oller and A.

The divisor of the twisted Selberg zeta function M¨ oller and A

Reference 17

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source=pdf_text observed=2026-08-02T00:40:23.614315Z digest=sha256:afd416c288963cfe7af5e0464f37708e85832cbec87ff00c3c01af4d21c73b34

Observation 625b8d35-5f19-482d-9826-9a41995a4b7a · outbound

This paper cites Olver.Asymptotics and special functions.

The divisor of the twisted Selberg zeta function Olver.Asymptotics and special functions

Reference 18

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source=pdf_text observed=2026-08-02T00:40:23.683445Z digest=sha256:2884176d1f5bb6de479af212ee5fac60af84df90cac6051b4bd4ff3248ce27d4

Observation 302486e2-8d0c-4bda-bfca-bbe2ceb16beb · outbound

This paper cites an unresolved cited work.

The divisor of the twisted Selberg zeta function Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-02T00:40:23.736787Z digest=sha256:43d57fcb7a9d8c9d22f6a80dab0f1103f719dc68131d10e63c138ddb156528e2

Observation 93d76f71-20da-45ab-98a7-e2957d1d1460 · outbound

This paper cites Phillips.Perturbation theory for twisted automorphic functions.

The divisor of the twisted Selberg zeta function Phillips.Perturbation theory for twisted automorphic functions

Reference 20

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source=pdf_text observed=2026-08-02T00:40:23.771788Z digest=sha256:464670ce0ba2ddba2e1d4785ee07372ccd5fb6f33c8ee062247cb8561bcba90f

Observation c4c2b966-1678-4733-b449-454a17e58b99 · outbound

This paper cites an unresolved cited work.

The divisor of the twisted Selberg zeta function Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-02T00:40:23.811647Z digest=sha256:b6e4f0c0e23e0c9652f7fe0eed0965d764dcae800b1bad650a986091aa2a7497

Observation 35879190-bad3-480c-b606-46f5a1b9e234 · outbound

This paper cites Pohl.Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds.

The divisor of the twisted Selberg zeta function Pohl.Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds

Reference 22

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source=pdf_text observed=2026-08-02T00:40:23.847597Z digest=sha256:3963571f3795a13e481c6c4c08f8c424ec5926e7efa59188a5d20970750ca643

Observation 28ea385e-78a9-4077-855b-946526949281 · outbound

This paper cites an unresolved cited work.

The divisor of the twisted Selberg zeta function Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-02T00:40:23.878445Z digest=sha256:d245432d9179171796d5993df05e2b4569b436abaf6183958652a3fc3de8e164

Observation f2b96ae1-2f75-4b5f-b86b-a4ff81e9f452 · outbound

This paper cites Pohl and P.

The divisor of the twisted Selberg zeta function Pohl and P

Reference 24

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source=pdf_text observed=2026-08-02T00:40:23.883112Z digest=sha256:95b7528e84b2a11e1ce9595853de1c06d2af7a943a82d31d487ad0246898e2b2

Observation 82ae9098-f9c7-459e-9e90-46bcdce22185 · outbound

This paper cites Scott.The geometries of3-manifolds.

The divisor of the twisted Selberg zeta function Scott.The geometries of3-manifolds

Reference 25

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source=pdf_text observed=2026-08-02T00:40:23.887154Z digest=sha256:c355da1c39b232086fc2933f52653367643ca5caed0e0251b6a83704661a7c91

Observation 6668910f-caae-46b1-8178-ef5bdf73e8bd · outbound

This paper cites Selberg.Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series.

The divisor of the twisted Selberg zeta function Selberg.Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series

Reference 26

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source=pdf_text observed=2026-08-02T00:40:23.891294Z digest=sha256:4bc53b8549c249a36e202814b4b3bdc6c481580a95fa5064859ca39f606b1895

Observation 7f524d72-3022-4673-b37d-cd5bff7bddaa · outbound

This paper cites Selberg.On discontinuous groups in higher-dimensional symmetric spaces.

The divisor of the twisted Selberg zeta function Selberg.On discontinuous groups in higher-dimensional symmetric spaces

Reference 27

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source=pdf_text observed=2026-08-02T00:40:23.895921Z digest=sha256:7a4f2cbfc4de24cf5ea4501085d63dd1d61742b8104b6da0892ef4d4b038d1f7

Observation cc8580a0-b512-428c-8368-bd6d4d388a25 · outbound

This paper cites Stein and R.

The divisor of the twisted Selberg zeta function Stein and R

Reference 28

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source=pdf_text observed=2026-08-02T00:40:23.900412Z digest=sha256:5cb5ad206b2de0556f256c60fc707f6dff66f93adb1fa137cd00e79402735fae

Observation 57b0456c-f018-4fa5-a6e7-042b265ee57e · outbound

This paper cites Venkov.On Dirichlet series that are associated with the defining equations and continued fractions in the theory of automorphic functions.

The divisor of the twisted Selberg zeta function Venkov.On Dirichlet series that are associated with the defining equations and continued fractions in the theory of automorphic functions

Reference 29

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source=pdf_text observed=2026-08-02T00:40:23.904770Z digest=sha256:417d41a5e2d199b0d97e895a7622f5f46ecc8c1d2252107a03c44dd870e66c84

Observation 6f22b016-6071-4ef8-91b2-c6c00a530179 · outbound

This paper cites an unresolved cited work.

The divisor of the twisted Selberg zeta function Unresolved cited work

Reference 30

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source=pdf_text observed=2026-08-02T00:40:23.909211Z digest=sha256:d3b49875adcd9f12ce4d99fef6d13b353630e8cde7ecb1d71933b27fade37d1b

Observation 426aeb7d-82f6-489b-af84-9d44fdda9d61 · outbound

This paper cites Strict transfer operator approaches for non-compact hyperbolic orbisurfaces.

The divisor of the twisted Selberg zeta function Strict transfer operator approaches for non-compact hyperbolic orbisurfaces

Reference 31

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source=pdf_text observed=2026-08-02T00:40:23.913104Z digest=sha256:03d40e7b8ba6a29dfac6b60eada3e3a803e6b7d1dc13962118f0254eb15e2c81

Observation 4bba2a47-0c33-4b13-a08c-fba92391b606 · outbound

This paper cites Zworski.Sharp polynomial bounds on the number of scattering poles.

The divisor of the twisted Selberg zeta function Zworski.Sharp polynomial bounds on the number of scattering poles

Reference 32

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source=pdf_text observed=2026-08-02T00:40:23.917478Z digest=sha256:70b2d4bc38545fab7e8b0276a88212fca054eaa4919549a5180d9215859e13ff

Pith citing papers

Observation ae77e3c2-dcac-48ae-bc48-682e2a748a62 · inbound

Some aspects of the spectral theory with twisting representations cites this paper.

Some aspects of the spectral theory with twisting representations The divisor of the twisted Selberg zeta function

Reference 17

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source=pdf_text observed=2026-08-01T05:45:01.518887Z digest=sha256:c4a6533eb7f002f74bb431acfb25a0a37975540fe2b8a57cf8bbb6c256448710