Non-vanishing of Rankin-Selberg convolutions for Hilbert modular forms
DOI10.1007/s00209-020-02502-yzbMath1470.11106arXiv1806.04749OpenAlexW3015077852MaRDI QIDQ2223501
Publication date: 29 January 2021
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.04749
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) 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)
Cites Work
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- Nonvanishing of Rankin-Selberg \(L\)-functions for Hilbert modular forms
- Non-vanishing of \(L\)-functions of Hilbert modular forms at the central point
- Determining modular forms on \(\text{SL}_2(\mathbb Z)\) by central values of convolution \(L\)-functions
- The special values of the zeta functions associated with Hilbert modular forms
- Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
- Twisted symmetric-square \(L\)-functions and the nonexistence of Siegel zeros on \(\mathrm{GL}(3)\)
- Some effective cases of the Brauer-Siegel theorem
- Poincaré series and Hilbert modular forms
- The subconvexity problem for \(\mathrm{GL}_2\)
- Determining Hilbert modular forms by central values of Rankin-Selberg convolutions: the weight aspect
- Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
- The critical order of vanishing of automorphic \(L\)-functions with large level
- Period integrals and Rankin-Selberg \(L\)-functions on \(\mathrm{GL}(n)\)
- Notes on the arithmetic of Hilbert modular forms
- On general L-functions
- Beyond Endoscopy and special forms on GL(2)
- A mean square formula for central values of twisted automorphic L-functions
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