12 citations · 15 across the 4 of their papers we have counts for
4 papers
The structure of Bernoulli numbers
Bernd C. Kellner
We conjecture that the structure of Bernoulli numbers can be explicitly given in the closed form $$ B_n = (-1)^{\frac{n}{2}-1} \prod_{p-1 \nmid n} |n|_p^{-1} \prod\limits_{(p,l)\in…
Some remarks on Kurepa's left factorial
Bernd C. Kellner
We establish a connection between the subfactorial function S(n) and the left factorial function of Kurepa K(n). Some elementary properties and congruences of both functions are de…
A conjecture about numerators of Bernoulli numbers related to Integer Sequence A092291
Bernd C. Kellner
In this paper we disprove a conjecture about numerators of divided Bernoulli numbers and which was suggested by Roland Bacher. We give some counterexamples. Fi…
The Equivalence of Giuga's and Agoh's Conjectures
Bernd C. Kellner
In this paper we show the equivalence of the conjectures of Giuga and Agoh in a direct way which leads to a combined conjecture. This conjecture is described by a sum of fractions…