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Paper Citation Record · LEDGER

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields

As of 8 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2607.16893.

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

pith.paper-citation-record.v1
2607.16893 v1

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measured 52 of 52 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T19:46:37.562146Z

measured 52 of 52 standing notices

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52 of 52 outbound references displayed

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Outbound references

Observation 9f184ec6-11d2-4c15-9c8d-3c2cc77a80a1 · outbound

This paper cites Deformations of Theta Integrals and A Conjecture of Gross-Zagier.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Deformations of Theta Integrals and A Conjecture of Gross-Zagier

Reference 1

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source=pdf_text observed=2026-08-01T19:46:31.275378Z digest=sha256:bfa52b271ee751756b362882b1ab2a6b76d504e33908228d697a9b5a2a3c43bf

Observation ca7b1653-2e0d-44c2-8ba6-60eea5782894 · outbound

This paper cites CM values of higher automorphic Green functions for orthogonal groups.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields CM values of higher automorphic Green functions for orthogonal groups

Reference 2

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Observation d37b9346-629e-47d6-b9fb-939c2b3678cd · outbound

This paper cites On two geometric theta lifts.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields On two geometric theta lifts

Reference 3

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Observation 45127458-f404-4840-9b44-a01ede4a024f · outbound

This paper cites Special values of Green functions at big CM points.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Special values of Green functions at big CM points

Reference 4

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Observation e355fa5e-5723-4a39-9ca2-0925df175256 · outbound

This paper cites CM-values of Hilbert modular functions.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields CM-values of Hilbert modular functions

Reference 5

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Observation e97c624c-2ecd-408a-aeb1-0369f230bbb8 · outbound

This paper cites CM-values of Hilbert modular functions.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields CM-values of Hilbert modular functions

Reference 6

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Observation ae1e9d9d-780c-4e76-950f-8e58c57cfc48 · outbound

This paper cites Twisted Borcherds products on Hilbert modular surfaces and their CM values.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Twisted Borcherds products on Hilbert modular surfaces and their CM values

Reference 7

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Observation 94edf51f-2f48-40fc-a5ee-c629c27e170e · outbound

This paper cites Harmonic Maass forms associated to real quadratic fields.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Harmonic Maass forms associated to real quadratic fields

Reference 8

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Observation c4efb12b-2de5-483c-ac28-1d7f561dd8f0 · outbound

This paper cites On the functional equation of certain Dirichlet series.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields On the functional equation of certain Dirichlet series

Reference 9

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Observation 1af03d48-595c-40f8-81d6-ab1967753f06 · outbound

This paper cites Twisted arithmetic Siegel Weil formula onX 0(N).

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Twisted arithmetic Siegel Weil formula onX 0(N)

Reference 10

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Observation dfd23281-8037-46fa-baf3-3dbd6142ff42 · outbound

This paper cites Freitag.Hilbert modular forms.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Freitag.Hilbert modular forms

Reference 11

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Observation 2a95846b-746b-4ba6-9b8b-7b6563d69488 · outbound

This paper cites A Siegel-Weil formula for automorphic characters: cubic variation of a theme of Snitz.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields A Siegel-Weil formula for automorphic characters: cubic variation of a theme of Snitz

Reference 12

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Observation ecd09a2f-8489-4bd9-b9c4-4eac6a86f0e0 · outbound

This paper cites The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula

Reference 13

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Observation c0c59e2e-01c6-4506-ba7d-8c6099fe7561 · outbound

This paper cites A proof of the Howe duality conjecture.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields A proof of the Howe duality conjecture

Reference 14

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Observation a90a61a1-b4cb-44ac-b36f-2903f5ab3739 · outbound

This paper cites an unresolved cited work.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Unresolved cited work

Reference 15

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Observation 8f0f8fbd-5a69-4f88-a979-2ea35bc741f0 · outbound

This paper cites Arithmetic automorphic forms for the nonholomorphic discrete series ofGSp(2).

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Arithmetic automorphic forms for the nonholomorphic discrete series ofGSp(2)

Reference 16

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Observation b45e2552-afb2-4483-bf3d-a10ee761442d · outbound

This paper cites The central critical value of a triple productL-function.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields The central critical value of a triple productL-function

Reference 17

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Observation ffe5bd66-4641-4e70-9689-eafae5d9556c · outbound

This paper cites Special values of Green’s functions on hyperbolic 3-space.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Special values of Green’s functions on hyperbolic 3-space

Reference 18

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Observation 3494b5dc-2087-498c-a592-4c268fa7f0d4 · outbound

This paper cites Motivic action conjecture for Doi-Naganuma lifts.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Motivic action conjecture for Doi-Naganuma lifts

Reference 19

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Observation 45684d22-7957-4dc2-bf67-f23dabb3f164 · outbound

This paper cites Intersections of Hirzebruch–Zagier Divisors and CM Cycles.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Intersections of Hirzebruch–Zagier Divisors and CM Cycles

Reference 20

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Observation bc7f030f-16d7-4d2a-9d78-a893567e3609 · outbound

This paper cites θ-series and invariant theory.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields θ-series and invariant theory

Reference 21

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Observation 1635d0e9-7c46-402d-ba9c-b8ec8c02a73e · outbound

This paper cites A regularized Siegel-Weil formula for unitary groups.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields A regularized Siegel-Weil formula for unitary groups

Reference 22

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Observation af619620-9c97-4ced-b447-a26910ade409 · outbound

This paper cites Jacquet and R.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Jacquet and R

Reference 23

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Observation 27fa47f6-1bc6-486d-8f4d-0966a0b99473 · outbound

This paper cites Another product for a Borcherds form.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Another product for a Borcherds form

Reference 24

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Observation 87b4902e-d496-4efc-9637-cee964104889 · outbound

This paper cites Algebraic cycles on Shimura varieties of orthogonal type.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Algebraic cycles on Shimura varieties of orthogonal type

Reference 25

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Observation 40c4eedd-9f33-4ef8-8410-63f41acc0534 · outbound

This paper cites Integrals of Borcherds forms.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Integrals of Borcherds forms

Reference 26

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Observation a25cbc45-f8c3-4653-8c79-44ef126143ff · outbound

This paper cites Theta-functions and Hilbert modular forms.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Theta-functions and Hilbert modular forms

Reference 27

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Observation 52ce434f-28dd-4e41-815b-a22cfb58ec9a · outbound

This paper cites A regularized Siegel-Weil formula: the first term identity.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields A regularized Siegel-Weil formula: the first term identity

Reference 28

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Observation 584c7b13-ccf6-446c-85a6-4a9a39f1310a · outbound

This paper cites an unresolved cited work.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Unresolved cited work

Reference 29

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Observation 5f3e7a4b-40e4-4695-8cbf-14d256e8157b · outbound

This paper cites From sum of two squares to arithmetic Siegel-Weil formulas.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields From sum of two squares to arithmetic Siegel-Weil formulas

Reference 30

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Observation ecb931b5-a10e-4f72-9448-d916952e79e9 · outbound

This paper cites Real-dihedral harmonic Maass forms and CM-values of Hilbert modular func- tions.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Real-dihedral harmonic Maass forms and CM-values of Hilbert modular func- tions

Reference 31

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Observation b7790992-9399-40ab-9ced-b0f9c3a386ba · outbound

This paper cites Hilbert Eisenstein series as Doi-Naganuma lift.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Hilbert Eisenstein series as Doi-Naganuma lift

Reference 32

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Observation 20e1be14-ac3b-4aca-8d51-fd9b68d3b0a5 · outbound

This paper cites Lion and M.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Lion and M

Reference 33

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source=pdf_text observed=2026-08-01T19:46:35.101943Z digest=sha256:8e4853f29a6e1a3249cd18aacf020d401eeb1e47fd37ff955a2563efe568917c

Observation e3b8e5ac-8f5a-4b2a-88f3-c8a1fd53b0b4 · outbound

This paper cites Lion and M.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Lion and M

Reference 34

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Observation d105962d-2313-4eb4-aa48-0517c885ba3e · outbound

This paper cites The rationality of vector valued modular forms associated with the Weil representation.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields The rationality of vector valued modular forms associated with the Weil representation

Reference 35

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Observation bae870e8-3560-49bb-965c-f247c7f0c3fc · outbound

This paper cites The fundamental theorem of complex multiplication.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields The fundamental theorem of complex multiplication

Reference 36

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source=pdf_text observed=2026-08-01T19:46:35.518393Z digest=sha256:476a0151b6de7d5820a854220d65223ed66e2d67e0e14fcf90e5d8759ec4bc78

Observation 9146d4fb-5e2a-46b8-9920-7bbf8183c6e6 · outbound

This paper cites Central values of RankinL-series over real quadratic fields.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Central values of RankinL-series over real quadratic fields

Reference 37

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source=pdf_text observed=2026-08-01T19:46:35.667414Z digest=sha256:d423664466d1e4a76408b955373e8054ef25e088720e0e802e019d4bde30927f

Observation 1c074aca-e2e4-4154-8434-a71bdec7d1df · outbound

This paper cites Notes on the arithmetic of Hilbert modular forms.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Notes on the arithmetic of Hilbert modular forms

Reference 38

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source=pdf_text observed=2026-08-01T19:46:35.800992Z digest=sha256:7f7d291514c938331bdff3fccc373fa9b9ec31e6af768fa76783c2d197a20017

Observation 62e43afe-b011-485e-ae38-76686d0e7288 · outbound

This paper cites Saito.Automorphic forms and algebraic extensions of number fields.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Saito.Automorphic forms and algebraic extensions of number fields

Reference 39

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source=pdf_text observed=2026-08-01T19:46:35.976498Z digest=sha256:4d8bce6310b401b7fd1b44018fc1ee6bbe6d66f85b09f68f0007bf9b215cfcb8

Observation 3bf2c68e-4d41-4bd0-9c1d-96bee970f1f1 · outbound

This paper cites Borcherds forms and generalizations of singular moduli.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Borcherds forms and generalizations of singular moduli

Reference 40

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source=pdf_text observed=2026-08-01T19:46:36.098777Z digest=sha256:92ed85456e7058539a39f4ac1b7901e6294dfc72c841a60da6f8fd0d6639ae4a

Observation 16833c98-5bb8-4d33-81e9-ba0842fb157e · outbound

This paper cites Thetareihen positiv definiter quadratischer Formen.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Thetareihen positiv definiter quadratischer Formen

Reference 41

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source=pdf_text observed=2026-08-01T19:46:36.218520Z digest=sha256:04cc1a82402cc83ae6a26124db94631bc30c7775d9ac65b5efd61e6585f687d8

Observation 3d64c0b5-6233-4169-aac5-4442f3f518be · outbound

This paper cites Darstellungsmaße von Spinorgeschlechtern tern¨ arer quadratischer Formen.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Darstellungsmaße von Spinorgeschlechtern tern¨ arer quadratischer Formen

Reference 42

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source=pdf_text observed=2026-08-01T19:46:36.338245Z digest=sha256:bf64dba93f10d431964793935a038502f938e1e2f25286ce6b07935447b9609b

Observation 8af72b1d-f248-4009-99a8-83faa89b8281 · outbound

This paper cites Theta series and automorphic forms on GL 2.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Theta series and automorphic forms on GL 2

Reference 43

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source=pdf_text observed=2026-08-01T19:46:36.470745Z digest=sha256:6491336dfd9d13ce291891e58e80b13f5418da39a9e3c5268e1ff3e934d5ba55

Observation a80d492c-ce56-4aed-951e-0dc4cc7fcc1c · outbound

This paper cites The special values of the zeta functions associated with Hilbert modular forms.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields The special values of the zeta functions associated with Hilbert modular forms

Reference 44

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source=pdf_text observed=2026-08-01T19:46:36.580834Z digest=sha256:989216c4d1f3af8da1b84d6b971d7860339fbb718234656698df835d5e1e4296

Observation 96175cb5-1771-4f0d-9240-180aad08e0dd · outbound

This paper cites On liftings of holomorphic cusp forms.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields On liftings of holomorphic cusp forms

Reference 45

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source=pdf_text observed=2026-08-01T19:46:36.665724Z digest=sha256:7a78dece13047539d7bde75bd07055f10b9f43c51119ee2ec6b440366d74a289

Observation 0cc1ef2f-311a-40b5-8531-f1a58d49dc8e · outbound

This paper cites ¨Uber die analytische Theorie der quadratischen Formen.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields ¨Uber die analytische Theorie der quadratischen Formen

Reference 46

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source=pdf_text observed=2026-08-01T19:46:36.796667Z digest=sha256:e0ba6c67258959dc451b761d3e4c4d9baba05c3c88734706d0b91ed794437992

Observation aaad00ac-15c4-46d7-a246-10f11e3adb96 · outbound

This paper cites Theta correspondence of automorphic characters.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Theta correspondence of automorphic characters

Reference 47

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source=pdf_text observed=2026-08-01T19:46:36.954609Z digest=sha256:efedf95458677d152dfd597bcc54a016b32d954a96e3d62571b344f5171e9360

Observation 5b24646b-f8aa-4379-a41b-e59c0b21fb79 · outbound

This paper cites Correspondances de Shimura.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Correspondances de Shimura

Reference 48

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source=pdf_text observed=2026-08-01T19:46:37.078235Z digest=sha256:0e760d428378940e1347aa3835a7930cccbc43c449733ba87f00d3ef8a385e64

Observation 9f8d3d6c-0c51-4c74-a47c-1efceb47dad3 · outbound

This paper cites Correspondances de Shimura et quaternions.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Correspondances de Shimura et quaternions

Reference 49

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source=pdf_text observed=2026-08-01T19:46:37.191053Z digest=sha256:644b75585328b4a48467afdb3fe499453cb65670377807f353c0bbd516e67cab

Observation 772242c2-f3b2-46e9-b01e-e7dc5caa9dff · outbound

This paper cites Sur la formule de Siegel dans la th´ eorie des groupes classiques.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Sur la formule de Siegel dans la th´ eorie des groupes classiques

Reference 50

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source=pdf_text observed=2026-08-01T19:46:37.324691Z digest=sha256:30adaad2baeb85b07721b8984e1de916b547befe6bd34f9ac4e377f705d657f8

Observation 1ce007b0-dd74-4e9e-b9d1-d2e6e67f2a7d · outbound

This paper cites The lambda invariants at CM points.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields The lambda invariants at CM points

Reference 51

Resolution
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source=pdf_text observed=2026-08-01T19:46:37.426699Z digest=sha256:5ecbc1a01b92ae8f3bf3d6d79e713f48e41a696dc8639e087bb305b4d7db15c5

Observation 2f9e7251-2ad2-4863-9739-5662cf75eed6 · outbound

This paper cites Modular forms associated to real quadratic fields.

Twisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fields Modular forms associated to real quadratic fields

Reference 52

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source=pdf_text observed=2026-08-01T19:46:37.562146Z digest=sha256:c5c7ba2cd7f450f9334e8f565ecbac72607d363d5514ec5588f5467a0b1461f8

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