Weighted generalization of a theorem of Gao

Abstract: Gao proved that for a finite abelian group of order $n$, we have $E(G) = D(G) +n -1$, where $D(G)$ is the Davenport constant of $G$ and $E(G)$ is defined to be the smallest natural number $k$ such that any sequence of $k$ elements in $G$ has a subsequence of length $n$ whose sum is zero. We shall discuss a weighted generalization of the above relation of Gao.

number theory

Audience: researchers in the topic

Combinatorial and additive number theory (CANT 2021)

Series comments: This is the nineteenth in a series of annual workshops sponsored by the New York Number Theory Seminar on problems in combinatorial and additive number theory and related parts of mathematics.

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