The denominators of the Bernoulli numbers
Carl Pomerance, Samuel S. Wagstaff Jr
TL;DR
This paper investigates the distribution and density of denominators in Bernoulli numbers, providing insights into their asymptotic behavior and related properties.
Contribution
It offers new results on the asymptotic density and distribution of Bernoulli number denominators, advancing understanding of their number-theoretic properties.
Findings
Determined the asymptotic density of Bernoulli number denominators
Analyzed the distribution of distinct Bernoulli denominators
Explored related number-theoretic problems
Abstract
We study the asymptotic density of the set of subscripts of the Bernoulli numbers having a given denominator. We also study the distribution of distinct Bernoulli denominators and some related problems.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Analytic Number Theory Research · Advanced Mathematical Identities