Two generalizations of the Busche-Ramanujan identities

László Tóth

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arXiv · 1301.3331

Two generalizations of the Busche-Ramanujan identities

László Tóth

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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.

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László Tóth. 2013-07-03. Two generalizations of the Busche-Ramanujan identities. https://arxiv.org/abs/1301.3331

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