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. 683–693DOI 10.2977/PRIMS/1145475226