Eta-product $\eta(7\tau)^7/\eta(\tau)$

Name: Eta-product $\eta(7\tau)^7/\eta(\tau)$
Creator: Saito, Kyoji
Keywords: Mathematics - Number Theory, Mathematics - Combinatorics, 0101 mathematics, 01 natural sciences

Saito, Kyoji

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Preprint . 2006

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Eta-product $\eta(7\tau)^7/\eta(\tau)$

descriptionPublicationkeyboard_double_arrow_right Preprint 17 Feb 2006

Authors: Saito, Kyoji;

arXiv: math/0602367

Eta-product $\eta(7\tau)^7/\eta(\tau)$

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Abstract

The Dirichlet series associated to the eta-product $\eta(7\tau)^7/\eta(\tau)$ decomposes uniquely into the difference of two L-functions with Euler products. This expression gives a new proof of the positivity of the Fourier coefficients of the eta-product.

Comment: 7 pages

Keywords

Mathematics - Number Theory, Mathematics - Combinatorics

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