S. Paul

activity

20212026

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3 papers · 1 filter

math.NT2021

Zero-sum constants related to the Jacobi symbol

Santanu Mondal, Krishnendu Paul, Shameek Paul

For $A \subseteq Z_{n}$ , the $A$ -weighted Gao constant $E_{A} (n)$ is defined to be the smallest natural number $k$ such that any sequence of $k$ elements in $Z_{n}$ has a s…

math.NT2021

Extremal sequences for a weighted zero-sum constant

Santanu Mondal, Krishnendu Paul, Shameek Paul

The constant $C_{A} (n)$ is defined to be the smallest natural number $k$ such that any sequence of $k$ elements in $Z_{n}$ has a subsequence of consecutive terms whose $A$ -weig…

math.NT2021

On a different weighted zero-sum constant

Santanu Mondal, Krishnendu Paul, Shameek Paul

For a finite abelian group $(G, +)$ , the constant $C (G)$ is defined to be the smallest natural number $k$ such that any sequence in $G$ having length $k$ will have a subsequence of…