On the mean square of short exponential sums related to cusp forms

2010/05/20 by Anne-Maria Ernvall-Hytönen, Ernvall-Hytönen, Anne-Maria
Mathematics · #Analytic Number Theory Research #Advanced Mathematical Identities #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1005.3690

Abstract

The purpose of the article is to estimate the mean square of a squareroot length exponential sum of Fourier coefficients of a holomorphic cusp form.

Related

• Mean square estimate for relatively short exponential sums involving\n Fourier coefficients of cusp forms
• Exponential Sums Related to Maass Forms
• An improvement on the upper bound of exponential sums connected to holomorphic cusp forms
• On Fourth and Higher Moments of Short Exponential Sums Related to Cusp Forms
• On sums of Fourier coefficients of cusp forms