Number field analogue of divisor function \`a la Koshliakov
Number Theory
2021-06-23 v1 Classical Analysis and ODEs
Abstract
In this article, we study a divisor function in an arbitrary number field akin to Koshliakov's work on Vorono\"{\dotlessi} summation formula. More precisely, we generalize Koshliakov's kernel and Koshliakov's transform over any number field to obtain identities for the Lambert series associated to the divisor function in an arbitrary number field.
Keywords
Cite
@article{arxiv.2106.11608,
title = {Number field analogue of divisor function \`a la Koshliakov},
author = {Soumyarup Banerjee and Rahul Kumar},
journal= {arXiv preprint arXiv:2106.11608},
year = {2021}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:2105.04141