The denominators of the Bernoulli numbers

Carl Pomerance; Samuel S. Wagstaff, Jr.

doi:10.4064/aa210601-16-11

Publishing house / Journals and Serials / Acta Arithmetica / All issues

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

The denominators of the Bernoulli numbers

Volume 209 / 2023

Carl Pomerance, Samuel S. Wagstaff, Jr. Acta Arithmetica 209 (2023), 1-15 MSC: Primary 11B05; Secondary 11B68, 11N25, 11N37, 11Y60. DOI: 10.4064/aa210601-16-11 Published online: 17 March 2022

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.

Authors

Carl PomeranceMathematics Department
Dartmouth College
Hanover, NH 03784, USA
e-mail
Samuel S. Wagstaff, Jr.Center for Education and Research
in Information Assurance and Security
and Department of Computer Sciences
Purdue University
West Lafayette, IN 47907-1398, USA
e-mail

8.00

Download

Search for IMPAN publications

Publishing house / Journals and Serials / Acta Arithmetica / All issues

Acta Arithmetica

The denominators of the Bernoulli numbers

Volume 209 / 2023

Abstract

Authors

Search for IMPAN publications

Rewrite code from the image