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

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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 modulo 13, 25, and 27.

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  1. Department of Mathematics, M. S. Ramaiah University of Applied Sciences, Peenya Campus, Peenya 4th Phase, Bengaluru, Karnataka, 560 058, India

    B. Hemanthkumar

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  1. B. Hemanthkumar
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Hemanthkumar, B. Congruence properties of coefficients of the eighth-order mock theta function \(V_0(q)\). Ramanujan J 57, 189–213 (2022). https://doi.org/10.1007/s11139-020-00342-2

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  • DOI: https://doi.org/10.1007/s11139-020-00342-2

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