English

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

Number Theory 2007-05-23 v1 Combinatorics

Abstract

The Dirichlet series associated to the eta-product η(7τ)7/η(τ)\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.

Keywords

Cite

@article{arxiv.math/0602367,
  title  = {Eta-product $\eta(7\tau)^7/\eta(\tau)$},
  author = {Kyoji Saito},
  journal= {arXiv preprint arXiv:math/0602367},
  year   = {2007}
}

Comments

7 pages