71 citations · 87 across the 6 of their papers we have counts for
3 papers · 1 filter
Additive problems with almost prime squares
Valentin Blomer, Lasse Grimmelt, Junxian Li +1
We show that every sufficiently large integer is a sum of a prime and two almost prime squares, and also a sum of a smooth number and two almost prime squares. The number of such r…
Small gaps in the spectrum of tori: asymptotic formulae
Valentin Blomer, Maksym Radziwiłł
We establish an asymptotic formula, uniformly down to the Planck scale, for the number of small gaps between the first N eigenvalues of the Laplacian on almost all flat tori and al…
Beyond the spherical sup-norm problem
Valentin Blomer, Gergely Harcos, Péter Maga +1
We open a new perspective on the sup-norm problem and propose a version for non-spherical Maass forms when the maximal compact K is non-abelian and the dimension of the K-type gets…