A Voronoi-Oppenheim summation formula for totally real number fields

dc.contributor.author	BANERJEE, DEBIKA	en_US
dc.contributor.author	Baruch, Ehud Moshe	en_US
dc.contributor.author	Tenetov, Evgeny	en_US
dc.date.accessioned	2019-03-26T10:01:40Z
dc.date.available	2019-03-26T10:01:40Z
dc.date.issued	2019-06	en_US
dc.identifier.citation	Journal of Number Theory, 199, 63-97.	en_US
dc.identifier.issn	0022-314X	en_US
dc.identifier.issn	1096-1658	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2409
dc.identifier.uri	https://doi.org/10.1016/j.jnt.2018.04.008	en_US
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Voronoi summation	en_US
dc.subject	Bessel functions	en_US
dc.subject	TOC-MAR-2019	en_US
dc.subject	2019	en_US
dc.title	A Voronoi-Oppenheim summation formula for totally real number fields	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Number Theory	en_US
dc.publication.originofpublisher	Foreign	en_US