204 citations · 337 across the 5 of their papers we have counts for
4 papers · 1 filter
Moments of the number of points in a bounded set for number field lattices
Nihar Gargava, Vlad Serban, Maryna Viazovska
We examine the moments of the number of lattice points in a fixed ball of volume for lattices in Euclidean space which are modules over the ring of integers of a number field $…
Fourier interpolation on the real line
Danylo Radchenko, Maryna Viazovska
We use weakly holomorphic modular forms for the Hecke theta group to construct an explicit interpolation formula for Schwartz functions on the real line. The formula expresses the…
Petersson inner products of weight one modular forms
Maryna Viazovska
In this paper we study regularized Petersson products between a holomorphic theta series associated to a positive definite binary quadratic form and a weakly holomorphic weight 1 m…
Theta lifts and local Maass forms
Kathrin Bringmann, Ben Kane, Maryna Viazovska
The first two authors and Kohnen have recently introduced a new class of modular objects called locally harmonic Maass forms, which are annihilated almost everywhere by the hyperbo…