On Deligne's conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms
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Publication:2685679
DOI10.1016/j.aim.2023.108860OpenAlexW4317501201WikidataQ123123084 ScholiaQ123123084MaRDI QIDQ2685679
Publication date: 22 February 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.07507
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Cohomology of arithmetic groups (11F75)
Cites Work
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- Critical values of Rankin-Selberg \(L\)-functions for \(\mathrm{GL}_n \times \mathrm{GL}_{n-1}\) and the symmetric cube \(L\)-functions for \(\mathrm{GL}_2\)
- The local Langlands conjecture for \(\text{GSp}(4)\)
- Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
- Calculus of principal series Whittaker functions on \(\text{GL}(3,\mathbb C)\)
- A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
- The special values of the zeta functions associated with Hilbert modular forms
- Automorphic forms on \(GL(3)\). I, II
- Rationality results for the exterior and the symmetric square \(L\)-function (with an appendix by Nadir Matringe)
- Cohomologically induced distinguished representations and cohomological test vectors
- Cuspidality of symmetric powers with applications.
- Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
- On poles of twisted tensor \(L\)-functions
- The doubling Archimedean zeta integrals for \(p\)-adic interpolation
- Algebraicity of the near central non-critical values of symmetric fourth \(L\)-functions for Hilbert modular forms
- Gamma factors for the asai representation of \(\mathrm{GL}_2\)
- Arthur's multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\)
- Distinguished representations of \(\mathrm{GL}_n(\mathbb C)\)
- Exact critical values of the symmetric fourth \(L\) function and vector valued Siegel modular forms
- Siegel modular forms of genus 2 attached to elliptic curves
- Zeta functions of simple algebras
- Pullbacks of Saito-Kurokawa lifts
- On algebraicity of special values of symmetric 4-th and 6-th power \(L\)-functions for \(\operatorname{GL}(2)\)
- Algebraicity of critical values of triple product \(L\)-functions in the balanced case
- The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions
- Distinguished Generic Representations of GL(n) over p-adic Fields
- Special values of adjoint L-functions and congruences for automorphic forms on GL(n) over a number field
- Whittaker rational structures and special values of the Asai 𝐿-function
- Evaluation of the Symmetric Square at the Near Center Point
- Functoriality and special values of L-functions
- On Certain Period Relations for Cusp Forms on GLn
- Symmetry, Representations, and Invariants
- Twisted tensors and Euler products
- On Certain L-Functions
- On Euler Products and the Classification of Automorphic Representations I
- Special Values of Dirichlet Series Attached to Hilbert Modular Forms
- On period relations for automorphic 𝐿-functions I
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Asai L-functions and Jacquet's conjecture
- The archimedean Whittaker functions on GL(3)
- Archimedean Theory and 𝜖-Factors for the Asai Rankin-Selberg Integrals
- Special values of L-functions and the refined Gan-Gross-Prasad conjecture
- Cohomological Representations and Functorial Transfer from Classical Groups
- Eisenstein Cohomology for GL<sub>N</sub> and the Special Values of Rankin–Selberg L-Functions
- Endoscopic Classification of representations of Quasi-Split Unitary Groups
- Special Values of Triple Product L-Functions
- On local root numbers and distinction
- Automorphic period and the central value of Rankin-Selberg L-function
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