1 citations · 2 across the 5 of their papers we have counts for
5 papers
Joint Linnik problems
Valentin Blomer, Farrell Brumley, Maksym Radiwiłł
We prove a conjecture of Michel--Venkatesh on joinings of distinct Linnik problems, in the setting of simultaneous quaternionic embeddings of imaginary quadratic fields having suff…
The cost of cyclic permutations and remainder sums in the Euclidean algorithm
Valentin Blomer, Kai-Uwe Bux
We discuss a modification to the Gries-Mills block swapping scheme for in-place rotation with average costs of 1.85 moves per element and worst case performance still at 3 moves pe…
Triple sums of Kloosterman sums and the discrepancy of modular inverses
Valentin Blomer, Morten S. Risager, Igor E. Shparlinski
We investigate the distribution of modular inverses modulo positive integers in a large interval. We provide upper and lower bounds for their box, ball and isotropic discrepanc…
Hyperbolic lattice point counting in unbounded rank
Valentin Blomer, Christopher Lutsko
We use spectral analysis to give an asymptotic formula for the number of matrices in SL(n, Z) of height at most T with strong error terms, far beyond the previous known, both for s…
Bounds for Kloosterman sums on GL(n)
V. Blomer, S. H. Man
This paper establishes power-saving bounds for Kloosterman sums associated with the long Weyl element for GL(n), as well as for another type of Weyl element of order 2. These bound…