New congruences for fractional powers of the generating function for the partition function

Recently, Chan and Wang [2] studied the coefficients of qn in the series of expansion of (∏n=1∞(1 - qn))k, | q | < 1 when k is a rational number which is denoted by pk(n). In particular, they proved many congruences satisfied by pk(n) and conjectured modulo 192 congruences for pk(n). Motivated by...

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Bibliographic Details
Main Authors: Isnaini, Uha, Hong, Nankun
Format: Other
Published: AIP Conference Proceedings 2022
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