15 citations · 26 across the 7 of their papers we have counts for
13 papers
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…
Non-Scattering Energies and Transmission Eigenvalues in
Emilia Blåsten, Esa V. Vesalainen
We consider non-scattering energies and transmission eigenvalues of compactly supported potentials in the hyperbolic spaces . We prove that in a corner b…
On the secrecy gain of -modular lattices
Esa V. Vesalainen, Anne-Maria Ernvall-Hytönen
We show that for every , there is a counterexample to the -modular secrecy function conjecture by Oggier, Solé and Belfiore. These counterexamples all satisfy the mod…
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…
Discreteness of Transmission Eigenvalues for Higher-Order Main Terms and Perturbations
Andoni García, Esa V. Vesalainen, Miren Zubeldia
In this paper we extend Sylvester's approach via upper triangular compact operators to establish the discreteness of transmission eigenvalues for higher-order main terms and higher…
Shape identification in inverse medium scattering problems with a single far-field pattern
Guanghui Hu, Mikko Salo, Esa V. Vesalainen
Consider time-harmonic acoustic scattering from a bounded penetrable obstacle embedded in a homogeneous background medium. The index of refraction characteri…
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…
Transmission Eigenvalues for a Class of Non-Compactly Supported Potentials
Esa V. Vesalainen
Let be a non-empty open set for which the Sobolev embedding is compact, and let be a potential taking on…