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arXiv · 2006.07811

Families of Congruences for Fractional Partition Functions Modulo Powers of Primes

Nayandeep Deka Baruah·Hirakjyoti Das
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Abstract

Recently, Chan and Wang (Fractional powers of the generating function for the partition function. Acta Arith. 187(1), 59--80 (2019)) studied the fractional powers of the generating function for the partition function and found several congruences satisfied by the corresponding coefficients. In this paper, we find some new families of congruences modulo powers of primes. We also find analogous results for the coefficients of the fractional powers of the generating function for the 2-color partition function.

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Nayandeep Deka Baruah, Hirakjyoti Das. 2020-06-14. Families of Congruences for Fractional Partition Functions Modulo Powers of Primes. https://doi.org/10.1007/s40993-021-00287-5

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