Santanu Mondal

collaborators

6 papers

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

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 $…

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…

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

On unit-weighted zero-sum constants of Zn​

Extremal sequences related to the Jacobi symbol

Zero-sum constants related to the Jacobi symbol

Extremal sequences for a weighted zero-sum constant

On a different weighted zero-sum constant

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

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