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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
Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields
Neelam Kandhil, Rashi Lunia, Jyothsnaa Sivaraman
For a number field , the Euler-Kronecker constant associated to is an arithmetic invariant the size and nature of which is linked to some of the deepest questions in n…