1Department of Mathematics Jiangsu University Zhenjiang, Jiangsu 212013, P.R. China 2School of Mathematics College of Taizhou Nanjing Normal University Taizhou, Jiangsu 225300, P.R. China
Colloquium Mathematicum, Tome 145 (2016) no. 2, pp. 285-290
Let $\bar{p}(n)$ denote the number of overpartitions of $n$. Recently, several congruences for $\bar{p}(n)$ modulo 5 have been proved by Chen and Xia, by Chen, Sun, Wang and Zhang, and by Wang. In this paper, we prove new congruences for $\bar{p}(n)$ modulo 5 by using some theta function identities and the generating function for $\bar{p}(4n)$.
Keywords:
bar denote number overpartitions recently several congruences bar modulo nbsp have proved chen xia chen sun wang zhang wang paper prove congruences bar modulo nbsp using theta function identities generating function bar
Affiliations des auteurs :
Tao Yan Zhao
1
;
Lily J. Jin
2
1
Department of Mathematics Jiangsu University Zhenjiang, Jiangsu 212013, P.R. China
2
School of Mathematics College of Taizhou Nanjing Normal University Taizhou, Jiangsu 225300, P.R. China
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author = {Tao Yan Zhao and Lily J. Jin},
title = {New congruences modulo $5$ for overpartitions},
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Tao Yan Zhao; Lily J. Jin. New congruences modulo $5$ for overpartitions. Colloquium Mathematicum, Tome 145 (2016) no. 2, pp. 285-290. doi: 10.4064/cm6744-1-2016
