טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentTenetov Evgeny
SubjectA Voronoi-Oppenhein Summation Formula for Totally Real
Number Fields
DepartmentDepartment of Mathematics
Supervisor Professor Ehud Moshe Baruch
Full Thesis textFull thesis text - English Version


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.