M.Sc Thesis
M.Sc Student Tenetov Evgeny A Voronoi-Oppenhein Summation Formula for Totally Real Number Fields Department of Mathematics Professor Ehud Moshe Baruch

Abstract

We obtain a Voronoi-Oppenheim summation formula for divisor functions of totally real number fields.

The formula generalizes a formula proved by Oppenheim in 1927. In particular, our formula is valid for real quadratic fields.

The method of proof is by building an Eisenstein series and using the Fourier expansion of the series.