Integral moments of automorphic L-functions
DOI10.1017/S1474748008000285zbMath1268.11065arXivmath/0612428MaRDI QIDQ3616460
Adrian-Viorel Diaconu, Paul B. Garrett
Publication date: 25 March 2009
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0612428
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta functions and (L)-functions of number fields (11R42) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
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Cites Work
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- An asymptotic series for the mean value of Dirichlet \(L\)-functions
- An explicit formula for the fourth power mean of the Riemann zeta- function
- 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 \(\mathrm{GL}(3)\)
- Basic number theory.
- Analytic continuation of representations and estimates of automorphic forms
- Cuspidality of symmetric powers with applications.
- The mean-value of the Riemann zeta function
- Fourth moments of grossencharakteren zeta functions
- Rankin-Selberg without unfolding and bounds for spherical Fourier coefficients of Maass forms
- On Local L-Functions and Normalized Intertwining Operators
- Quantum unique ergodicity for \(\text{SL}_2 (\mathcal O)\backslash\mathbb{H}^3\) and estimates for \(L\)-functions