Geodesic
New congruences modulo $5$ for overpartitions
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
Colloquium Mathematicum, Tome 145 (2016) no. 2, pp. 285-290 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\bar{p}(4n)$.
DOI : 10.4064/cm6744-1-2016
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

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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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

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