MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
NEW CONGRUENCES MODULO SMALL POWERS OF 2 FOR OVERPARTITIONS INTO ODD PARTS
B. Hemanthkumar, S. Chandankumar

Abstract

In this article, we establish several infinite families of Ramanujan-type congruences modulo 16, 32 and 64 for $\overline{p}_o(n),$ the number of overpartitions of $n$ in which only odd parts are used.

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Keywords: Partition; overpartition; congruence.

MSC: 05A17, 11P83

Pages:  141$-$148     

Volume  73 ,  Issue  2 ,  2021