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2022 New Combinatorial Interpretations for the Partitions into Odd Parts Greater than One
Cristina Ballantine, Mircea Merca
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Taiwanese J. Math. Advance Publication 1-21 (2022). DOI: 10.11650/tjm/220902

Abstract

In this paper, we consider $Q_1(n)$ to be the number of partitions of $n$ into odd parts greater than one and provide new combinatorial interpretations for $Q_1(n)$. New linear relations involving Euler's partition function $p(n)$ and the overpartition function $\overline{p}(n)$ are obtained in this context.

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Cristina Ballantine. Mircea Merca. "New Combinatorial Interpretations for the Partitions into Odd Parts Greater than One." Taiwanese J. Math. Advance Publication 1 - 21, 2022. https://doi.org/10.11650/tjm/220902

Information

Published: 2022
First available in Project Euclid: 12 September 2022

Digital Object Identifier: 10.11650/tjm/220902

Subjects:
Primary: 05A19 , 05A20 , 11P81 , 11P82

Keywords: partitions , theta products , theta series

Rights: Copyright © 2022 The Mathematical Society of the Republic of China

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