3 papers
math.CO2024
Davenport constant and its variants for some non-abelian groups
C. G. Karthick Babu, Ranjan Bera, Mainak Ghosh +1
We define two variants , of the Davenport constant of a finite group , that is not necessarily abelian. These naturally arising constants aid in computing $d…
math.NT2024
Linear Congruences and a Conjecture of Bibak
C. G. Karthick Babu, Ranjan Bera, B. Sury
We address three questions posed by Bibak \cite{KB20}, and generalize some results of Bibak, Lehmer and K G Ramanathan on solutions of linear congruences $\sum_{i=1}^k a_i x_i \equ…
math.NT2024
Linear Congruences in several variables with congruence restrictions
C. G. Karthick Babu, Ranjan Bera, B. Sury
In this article, we consider systems of linear congruences in several variables and obtain necessary and sufficient conditions as well as explicit expressions for the number of sol…