2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109004The Dirichlet series associated to the eta-product $η(7τ)^7/η(τ)$ 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.7 pagesNumber TheoryCombinatoricsEta-product $η(7τ)^7/η(τ)$text