C. G. K. Babu

collaborators

3 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…