S. Paul

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20212026

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math.NT2022

Extremal sequences for the unit-weighted Gao constant of $Z_{n}$

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…

math.NT2022

On unit-weighted zero-sum constants of $Z_{n}$

Santanu Mondal, Krishnendu Paul, Shameek Paul

Given $A \subseteq Z_{n}$ , 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 an $A$ -weighted ze…

math.NT2022

Square-weighted zero-sum constants

Krishnendu Paul, Shameek Paul

Let $A \subseteq Z_{n}$ be a subset. A sequence $S = (x_{1}, \dots, x_{k})$ in $Z_{n}$ is said to be an $A$ -weighted zero-sum sequence if there exist $a_{1}, \dots, a_{k} \in A$ such…

math.NT2022

Extremal sequences related to the Jacobi symbol

Santanu Mondal, Krishnendu Paul, Shameek Paul

For a weight-set $A \subseteq Z_{n}$ , the $A$ -weighted zero-sum constant $C_{A} (n)$ is defined to be the smallest natural number $k$ , such that any sequence of $k$ elements in $…

Extremal sequences for the unit-weighted Gao constant of Zn​

On unit-weighted zero-sum constants of Zn​

Square-weighted zero-sum constants

Extremal sequences related to the Jacobi symbol

Extremal sequences for the unit-weighted Gao constant of $Z_{n}$

On unit-weighted zero-sum constants of $Z_{n}$