The shifted fourth moment of automorphic $L$-functions of prime power level

DOI10.4064/aa8165-4-2016zbMath1354.11037arXiv1505.03200OpenAlexW2963605543MaRDI QIDQ3178185

Olga G. Balkanova

Publication date: 8 July 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03200

zbMATH Keywords

central valuesrandom matrix theorymoments of \(L\)-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Relations with random matrices (11M50)

Related Items (2)

The first moment of twisted Hecke \(L\)-functions with unbounded shifts ⋮ New error term for the fourth moment of automorphic \(L\)-functions

Uses Software

• DLMF

Cites Work

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• A hybrid asymptotic formula for the second moment of Rankin-Selberg L -functions
• Integral moments of L-functions
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros

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