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Identities and congruences for Ramanujan’s ω(q)

Author： Bruinier Jan   Ono Ken  

Publisher： Springer Publishing Company

ISSN： 1382-4090

Source： The Ramanujan Journal, Vol.23, Iss.1-3, 2010-12, pp. : 151-157

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Abstract

Recently, the authors constructed generalized Borcherds products where modular forms are given as infinite products arising from weight 1/2 harmonic Maass forms. Here we illustrate the utility of these results in the special case of Ramanujan’s mock theta function ω(q). We obtain identities and congruences modulo 512 involving the coefficients of ω(q).

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