Positivity of Eta Products—a Certain Case of K. Saito’s Conjecture

  • Tomoyoshi Ibukiyama

    Osaka University Graduate School of Science, Japan

Abstract

We prove that for any prime p, the Fourier coeffcients of η(_p_τ)p/η(τ) are all non-negative, where η(τ) is the Dedekind eta function. This is a proof of some parts of K. Saito’s conjecture on such positivity of eta products associated with regular systems of weight.

Cite this article

Tomoyoshi Ibukiyama, Positivity of Eta Products—a Certain Case of K. Saito’s Conjecture. Publ. Res. Inst. Math. Sci. 41 (2005), no. 3, pp. 683–693

DOI 10.2977/PRIMS/1145475226