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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2409| Title: | A Voronoi-Oppenheim summation formula for totally real number fields |
| Authors: | BANERJEE, DEBIKA Baruch, Ehud Moshe Tenetov, Evgeny Dept. of Mathematics |
| Keywords: | Voronoi summation Bessel functions TOC-MAR-2019 2019 |
| Issue Date: | Jun-2019 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Number Theory, 199, 63-97. |
| 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2409 https://doi.org/10.1016/j.jnt.2018.04.008 |
| ISSN: | 0022-314X 1096-1658 |
| Appears in Collections: | JOURNAL ARTICLES |
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