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arXiv · 1912.12445

Congruence properties of coefficients of the eighth order mock theta function $V_0(q)$

B. Hemanthkumar
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Abstract

We study the divisibility properties of the partition function associated with the eighth order mock theta function $V_0(q)$, introduced by Gordon and McIntosh. We obtain congruences modulo powers of 2 for certain coefficients of the partition function, akin to Ramanujan's partition congruences. Further, we also present several infinite families of congruences molulo 13, 25 and 27.

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B. Hemanthkumar. 2019-12-28. Congruence properties of coefficients of the eighth order mock theta function $V_0(q)$. https://arxiv.org/abs/1912.12445

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