Sums of absolute values of cusp form coefficients and their application
type: Item
instance of: scholarly article
title: Sums of absolute values of cusp form coefficients and their application
zbMATH Open document ID: 1320.11039
author: Guangshi Lü
published in: Journal of Number Theory
publication date: 2014-06-25T00:00:00Z
review text: In this paper, the author proves estimates for the sum function of the modulus of certain bilinear forms involving normalized Fourier coefficients, arising from cusp forms over certain modular groups corresponding to cuspidal automorphic representations. The results can be viewed as a continuation and variation on the classical works of Hecke, Kloosterman, Salié, Davenport, Rankin, Selberg, Weil and Deligne.
reviewed by: Emre Alkan
Mathematics Subject Classification ID: 11F30
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11F66
zbMATH DE Number: 6308460
zbMATH Keywords: cusp form
zbMATH Keywords: automorphic representation
zbMATH Keywords: Fourier coefficient
zbMATH Keywords: \(L\)-functions
MaRDI profile type: Publication
full work available at URL: j.jnt.2013.12.011
OpenAlex ID: W2047198396
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DOI: 10.1016/J.JNT.2013.12.011
description: scientific article; zbMATH DE number 6308460