2 papers
math.NT2024
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…
math.NT2003
The distribution of values of the Poincare pairing for hyperbolic Riemann surfaces
Yiannis N. Petridis, Morten Skarsholm Risager
For a cocompact group of SL_2(R) we fix a non-zero harmonic 1-form \a. We normalize and order the values of the Poincare pairing <gamma,\a> according to the length of the correspon…