150 citations · 663 across the 47 of their papers we have counts for
5 papers · 2 filters
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.
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…
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…
Spectral summation formula for GSp(4) and moments of spinor L-functions
Valentin Blomer
We compute the first and second moment of the spinor L-function at the central point of Siegel modular forms of large weight k with power saving error term and give applications to…