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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…
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…