Abstract We obtain a Voronoi–Oppenheim summation formula for divisor functions of totally real number fields. This generalizes a formula proved by Oppenheim in 1927. We use a similar method to… Click to show full abstract
Abstract We obtain a Voronoi–Oppenheim summation formula for divisor functions of totally real number fields. This generalizes a formula proved by Oppenheim in 1927. We use a similar method to the one developed by Beineke and Bump in order to prove the classical Oppenheim summation using a certain Eisenstein series and representation theory. Our formula has a simple formulation for real quadratic number fields.
Keywords:
number;
oppenheim summation;
voronoi oppenheim;
number fields;
formula
Journal Title: Journal of Number Theory
Year Published: 2019
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Journal Title: Journal of Number Theory
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!