Two generalizations of the Busche-Ramanujan identities
Number Theory
2013-07-04 v2
Abstract
We derive two new generalizations of the Busche-Ramanujan identities involving the multiple Dirichlet convolution of arithmetic functions of several variables. The proofs use formal multiple Dirichlet series and properties of symmetric polynomials of several variables.
Keywords
Cite
@article{arxiv.1301.3331,
title = {Two generalizations of the Busche-Ramanujan identities},
author = {László Tóth},
journal= {arXiv preprint arXiv:1301.3331},
year = {2013}
}
Comments
10 pages, revised