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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 . He conjectured that for any positive integer , the limit $$ \lim_{x \to \infty} \frac{\sum_{0 < D \le X, \atop{ \t…
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…