Eta-product $η(7τ)^7/η(τ)$

Details Eta-product $η(7τ)^7/η(τ)$ Eta-product $η(7τ)^7/η(τ)$

2006-02-17

arxiv.org/abs/math/0602367v1

Mathematics

Number Theory

7 pages

Scientific paper

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.

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