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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…