3 papers
math.NT2026
Joint Linnik problems
Valentin Blomer, Farrell Brumley, Maksym RadiwiÅÅ
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…
cs.DS2026
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…
math.NT2025
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…