Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594936 | Journal of Number Theory | 2008 | 12 Pages |
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