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math.NT2014
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,…
math.NT2014
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…
math.NT2014★ 3 cited
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…