71 citations · 87 across the 6 of their papers we have counts for
6 papers
Generation of Hecke fields by squares of cyclotomic twists of modular -values
Valentin Blomer, Ashay Burungale, Philippe Michel +1
Let be a non-CM elliptic newform without a quadratic inner twist, an odd prime and a Dirichlet character of -power order and sufficiently large -power conductor.…
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…
The second moment of twisted modular L-functions
Valentin Blomer, Djordje Milićević
We prove an asymptotic formula with a power saving error term for the (pure or mixed) second moment of central values of L-functions of any two (possibly equal) fixed cusp forms f,…
Subconvexity for a double Dirichlet series
Valentin Blomer
For Dirichlet series roughly of the type the subconvexity bound is proved on the critical lines $\Re…