Jiyou Li, Xiang Yu
Published 2019-09-22Version 1
The Li-Wan sieve formula is generalized when the underlying set $X$ is symmetric. The new formula is used to count restricted multisets, leading to several classical formulas in a unified way. Furthermore, an application to the multisubset sum problem over finite abelian groups is given.
Comments: 20 pages, no figures
Counting compositions over finite abelian groups
Zero-sum invariants of finite abelian groups
$p^\ell$-Torsion Points In Finite Abelian Groups And Combinatorial Identities
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