Geodesic
Andrews-Beck type congruences for overpartitions
Eunmi Kim1
1Institute of Mathematical Sciences, Ewha Womans University
The electronic journal of combinatorics, Tome 29 (2022) no. 1
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We prove Andrews-Beck type congruences for overpartitions concerning the $D$-rank and $M_2$-rank. To prove congruences, we establish the generating function for weighted $D$-rank (respectively, $M_2$-rank) moment of overpartitions and find a connection with the second $D$-rank (respectively, $M_2$-rank) moment for overpartitions.
DOI : 10.37236/10456
Classification : 11P81, 05A17
Mots-clés : Andrews-Beck type congruence, overpartitions

Eunmi Kim  1

1 Institute of Mathematical Sciences, Ewha Womans University 
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Eunmi Kim. Andrews-Beck type congruences for overpartitions. The electronic journal of combinatorics, Tome 29 (2022) no. 1. doi: 10.37236/10456

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