K. Saito's Conjecture for Nonnegative Eta Products

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We prove that the Fourier coefficients of a certain general eta product considered by K. Saito are nonnegative. The proof is elementary and depends on a multidimensional theta function identity. The z = 1 case is an identity for the generating function for p-cores due to Klyachko [12] and Garvan, Kim and Stanton [7].
8 pages

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Number Theory, Combinatorics, 11F20 (Primary), 11F27, 11F30, 05A19, 05A30, 11B65 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/115103

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607606
 http://arxiv.org/abs/math/0607606

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arXiv