3 citations · 4 across the 2 of their papers we have counts for
5 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…