C. G. K. Babu

collaborators

4 papers

math.NT2024

Gerth's heuristics for a family of quadratic extensions of certain Galois number fields

C. G. K. Babu, R. Bera, J. Sivaraman +1

Gerth generalised Cohen-Lenstra heuristics to the prime $p = 2$ . He conjectured that for any positive integer $m$ , the limit $$ \lim_{x \to \infty} \frac{\sum_{0 < D \le X, \atop{ \t…

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 $e (G)$ , $f (G)$ of the Davenport constant $d (G)$ of a finite group $G$ , 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…