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RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION

HEI-CHI CHAN

University of Illinois at Springfield, Springfield, IL 62703-5407, USA

https://doi.org/10.1142/S1793042110003241Cited by:51 (Source: Crossref)

Abstract

In this paper, we study the divisibility of the function a(n) defined by . In particular, we prove certain "Ramanujan type congruences" for a(n) modulo powers of 3.

Keywords:

AMSC: 11P83

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