JournalsprimsVol. 41, No. 3pp. 683–693

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

  • Tomoyoshi Ibukiyama

    Osaka University Graduate School of Science, Japan
Positivity of Eta Products—a Certain Case of K. Saito’s Conjecture cover
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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.

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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