Article ID Journal Published Year Pages File Type
4594936 Journal of Number Theory 2008 12 Pages PDF
Abstract

We give a formula expressing Bernoulli numbers of the second kind as 2-adically convergent sums of traces of algebraic integers. We use this formula to prove and explain the formulas and conjectures of Adelberg concerning the initial 2-adic digits of these numbers. We also give analogous results for the Nörlund numbers.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory