NEW CONGRUENCES MODULO SMALL POWERS OF 2 FOR OVERPARTITIONS INTO ODD PARTS

Authors

  • B. Hemanthkumar Department of Mathematics, M. S. Ramaiah University of Applied Sciences, Peenya Campus, Peenya 4th Phase, Bengaluru-560 058, Karnataka, India Author
  • S. Chandankumar Department of Mathematics, M. S. Ramaiah University of Applied Sciences, Peenya Campus, Peenya 4th Phase, Bengaluru-560 058, Karnataka, India Author

Keywords:

Partition, overpartition, congruence

Subjects:

05A17, 11P83

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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Published

2021-04-15

Issue

Vol. 73 No. 2 (2021): Vol. 73, Issue 2

Section

Articles

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Copyright (c) 2021 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.