150 citations · 663 across the 47 of their papers we have counts for
7 papers · 1 filter
Higher order divisor problems
Valentin Blomer
An asymptotic formula is proved for the k-fold divisor function averaged over homogeneous polynomials of degree k in k-1 variables coming from incomplete norm forms.
The Manin-Peyre conjecture for a certain biprojective cubic threefold
Valentin Blomer, Jörg Brüdern, Per Salberger
The conjectures of Manin and Peyre are confirmed for a certain threefold.
-Version space-time discontinuous Galerkin methods for parabolic problems on prismatic meshes
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
We present a new -version space-time discontinuous Galerkin (dG) finite element method for the numerical approximation of parabolic evolution equations on general spatial meshe…
Some applications of smooth bilinear forms with Kloosterman sums
Valentin Blomer, Étienne Fouvry, Emmanuel Kowalski +2
We revisit a recent bound of I. Shparlinski and T. P. Zhang on bilinear forms with Kloosterman sums, and prove an extension for correlation sums of Kloosterman sums against Fourier…
Small gaps in the spectrum of the rectangular billiard
Valentin Blomer, Jean Bourgain, Maksym Radziwiłł +1
We study the size of the minimal gap between the first N eigenvalues of the Laplacian on a rectangular billiard having irrational squared aspect ratio , in comparison to the cor…
Epstein zeta-functions, subconvexity, and the purity conjecture
Valentin Blomer
Subconvexity bounds are proved for general Epstein zeta functions of k-ary quadratic forms. This is related to sup-norm bounds for Eisenstein series on GL(k), and the exact sup-nor…