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The Kummer ratio of the relative class number for prime cyclotomic fields
Neelam Kandhil, Alessandro Languasco, Pieter Moree +2
Kummer's conjecture predicts the asymptotic growth of the relative class number of prime cyclotomic fields. We substantially improve the known bounds of Kummer's ratio under three…
math.NT2024
The summatory function of the Möbius function involving the greatest common divisor
Isao Kiuchi, Sumaia Saad Eddin
Let denote the greatest common divisor of the positive integers and , and let represent the M\" obius function. For any real number , we define the summ…