15 citations · 26 across the 7 of their papers we have counts for
6 papers · 1 filter
On Fourth and Higher Moments of Short Exponential Sums Related to Cusp Forms
Anne-Maria Ernvall-Hytönen, Esa V. Vesalainen
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…
On a conjecture of Faulhuber and Steinerberger on the logarithmic derivative of
Anne-Maria Ernvall-Hytönen, Esa V. Vesalainen
Faulhuber and Steinerberger conjectured that the logarithmic derivative of has the property that is strictly decreasing and stri…
On Sums Involving Fourier Coefficients of Maass Forms for
Jesse Jääsaari, Esa V. Vesalainen
We derive a truncated Voronoi identity for rationally additively twisted sums of Fourier coefficients of Maass forms for , and as an application obtain a…
Exponential Sums Related to Maass Forms
Jesse Jääsaari, Esa V. Vesalainen
We estimate short exponential sums weighted by the Fourier coefficients of a Maass form. This requires working out a certain transformation formula for non-linear exponential sums,…
Resonances and -results for Exponential Sums Related to Maass Forms for
Anne-Maria Ernvall-Hytönen, Jesse Jääsaari, Esa V. Vesalainen
We obtain resonances for short exponential sums involving Fourier coefficients of Maass forms for . This involves deriving asymptotics for the integrals a…
Moments and oscillations of exponential sums related to cusp forms
Esa V. Vesalainen
We consider large values of long linear exponential sums involving Fourier coefficients of holomorphic cusp forms. The sums we consider involve rational linear twists wit…