On algebraicity of special values of symmetric 4-th and 6-th power \(L\)-functions for \(\operatorname{GL}(2)\)
From MaRDI portal
Publication:2664640
DOI10.1007/s00209-021-02727-5zbMath1496.11074OpenAlexW3134019508MaRDI QIDQ2664640
Publication date: 17 November 2021
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-021-02727-5
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
Related Items (3)
On Deligne's conjecture for symmetric fifth \(L\)-functions of modular forms ⋮ On Deligne's conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms ⋮ Algebraicity of critical values of triple product \(L\)-functions in the balanced case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Critical values of Rankin-Selberg \(L\)-functions for \(\mathrm{GL}_n \times \mathrm{GL}_{n-1}\) and the symmetric cube \(L\)-functions for \(\mathrm{GL}_2\)
- Level raising and symmetric power functoriality. II
- Level-raising and symmetric power functoriality. III.
- Decomposition of Eisenstein series: Rankin triple products
- Special values and mixed weight triple products (with an appendix by Don Blasius)
- 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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
- On liftings and cusp cohomology of arithmetic groups
- Some remarks on triple L-functions
- The special values of the zeta functions associated with Hilbert modular forms
- \(p\)-adic measures attached to Siegel modular forms
- On special values of standard \(L\)-functions attached to vector valued Siegel modular forms.
- On tensor product \(L\)-functions for quaternion unitary groups and \(\mathrm{GL}(2)\) over totally real number fields: mixed weight cases
- Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
- The doubling Archimedean zeta integrals for \(p\)-adic interpolation
- Period relations for automorphic induction and applications. I
- 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
- Automorphic forms on GL (2)
- Notes on the arithmetic of Hilbert modular forms
- On the Special Values of Certain Rankin–Selberg L-Functions and Applications to Odd Symmetric Power L-Functions of Modular Forms
- Functoriality and special values of L-functions
- Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight
- Special values of zeta functions attached to Siegel modular forms
- On Certain L-Functions
- Special Values of Dirichlet Series Attached to Hilbert Modular Forms
- Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
- The special values of the zeta functions associated with cusp forms
- A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
- On symmetric power L-invariants of Iwahori level Hilbert modular forms
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Special values of L-functions and the refined Gan-Gross-Prasad conjecture
- On the arithmetic of Shalika models and the critical values of L-functions for GL2n
- Special Values of Triple Product L-Functions
- On an Explicit Construction of a Certain Class of Automorphic Forms
- Holomorphy of Rankin triple \(L\)-functions; special values and root numbers for symmetric cube \(L\)-functions
This page was built for publication: On algebraicity of special values of symmetric 4-th and 6-th power \(L\)-functions for \(\operatorname{GL}(2)\)
