On the fourth moment of holomorphic Hecke cusp forms

DOI10.1007/S11139-013-9505-ZzbMath1302.11017arXiv1210.0740OpenAlexW2088388975MaRDI QIDQ457028

Rizwanur Khan

Publication date: 26 September 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0740

zbMATH Keywords

\(L\)-functionsmodular formsHecke cusp forms

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Uses Software

• GL(n)pack

Cites Work

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• Mass equidistribution for Hecke eigenforms
• Distribution of Maass of holomorphic cusp forms
• On the Topography of Maass Waveforms for PSL(2, Z)
• Non-vanishing of the symmetric square L -function at the central point
• The vanishing of Poincaré series
• Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts
• A density theorem on automorphic $L$-functions and some applications

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