15 citations · 26 across the 7 of their papers we have counts for
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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…
Strictly convex corners scatter
Lassi Päivärinta, Mikko Salo, Esa V. Vesalainen
We prove the absence of non-scattering energies for potentials in the plane having a corner of angle smaller than . This extends the earlier result of Blåsten, Päivärinta and Sy…
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…
Rellich Type Theorems for Unbounded Domains
Esa V. Vesalainen
We give several generalizations of Rellich's classical uniqueness theorem to unbounded domains. We give a natural half-space generalization for super-exponentially decaying inhomog…