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Congruences for Ramanujan’s ω(q)

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Abstract

Recently, Bruinier and Ono investigated the arithmetic of the coefficients of Ramanujan’s mock theta function ω(q). In Ramanujan J. (submitted) they obtained congruences with respect to the modulus 512. Here we show that ω(q) modulo 5 is dictated by an elliptic curve.

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Correspondence to Claudia Alfes.

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Alfes, C. Congruences for Ramanujan’s ω(q). Ramanujan J 22, 163–169 (2010). https://doi.org/10.1007/s11139-009-9183-z

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  • DOI: https://doi.org/10.1007/s11139-009-9183-z

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