On Fourth and Higher Moments of Short Exponential Sums Related to Cusp Forms

2019/09/20 by Ernvall-Hytönen, Anne-Maria, Vesalainen, Esa V.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1909.09497

Abstract

We obtain upper bounds for the fourth and higher moments of short exponential sums involving Fourier coefficients of holomorphic cusp forms twisted by rational additive twists with small denominators.

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