Algebraicity of critical values of triple product \(L\)-functions in the balanced case
From MaRDI portal
Publication:2688053
DOI10.2140/pjm.2022.321.73OpenAlexW3188795297MaRDI QIDQ2688053
Publication date: 8 March 2023
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.02111
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A family of Calabi-Yau varieties and potential automorphy. II.
- Decomposition of Eisenstein series: Rankin triple products
- Special values and mixed weight triple products (with an appendix by Don Blasius)
- Appendix to Orloff. Critical values of certain tensor product L- functions
- The central critical value of a triple product \(L\)-function
- On the functional equations of the triple L-functions
- Eisenstein series on Shimura varieties
- Some remarks on triple L-functions
- A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
- The special values of the zeta functions associated with Hilbert modular forms
- Coherent cohomology, limits of discrete series, and Galois conjugation
- Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
- Rationality results for the exterior and the symmetric square \(L\)-function (with an appendix by Nadir Matringe)
- On the local Langlands conjecture for \(\text{GL}_n\)
- Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
- On the gamma factor of the triple \(L\)-function. I
- Gamma factors for the Asai cube representation
- On Deligne's conjecture for certain automorphic \(L\)-Functions for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) and \(\mathrm{GL}(4)\)
- Congruences to Ikeda-Miyawaki lifts and triple \(L\)-values of elliptic modular forms
- On algebraicity of special values of symmetric 4-th and 6-th power \(L\)-functions for \(\operatorname{GL}(2)\)
- Periods of Quaternionic Shimura Varieties. I.
- Functoriality and special values of L-functions
- Functional Equations of Whittaker Functions on p-Adic Groups
- On Certain L-Functions
- On the gamma factor of the triple L-function II
- On the arithmetic of Shalika models and the critical values of L-functions for GL2n
- Eisenstein Cohomology for GL<sub>N</sub> and the Special Values of Rankin–Selberg L-Functions
- Special Values of Triple Product L-Functions
- The Sato-Tate conjecture for Hilbert modular forms
- Siegel modular forms and representations
- Special values of triple product \(L\)-functions and nearly holomorphic Eisenstein series
This page was built for publication: Algebraicity of critical values of triple product \(L\)-functions in the balanced case