The (r1,...,rp)-Stirling Numbers of the Second Kind

Let

On Computation of Exact van der Waerden Numbers

The

On 3-adic Valuations of Generalized Harmonic Numbers

We investigate 3-adic valuations of generalized harmonic numbers

A Property of Twin Primes

We determine the product of the invertible quadratic residues in

On the Maximal Cross Number of Unique Factorization Zero-Sum Sequences over a Finite Abelian Group

Letdenote the cross number ofWe determine

Sierpiński Numbers in Imaginary Quadratic Fields

In 1960, Sierpiński proved that there exist infinitely many odd positive rational integersIn this article, we investigate the analogous problem in the ring of integers

Selmer's Multiplicative Algorithm

The behavior of the multiplicative acceleration of Selmer's algorithm is widely unknown and no general result on convergence has been detected yet. Solely for its 2-dimensional, periodic expansions, there exist some results on convergence and approximation due to Fritz Schweiger. In this paper we show that periodic expansions of any dimension do in fact converge and that the coordinates of the limit points are rational functions of the largest eigenvalue of the periodicity matrix.

A Generalized Diagonal Wythoff Nim

The P-positions of the 2-pile take-away game of Wythoff Nim lie on two

The Googol-th Bit of the Erdős–Borwein Constant

The Erdős–Borwein constant is a sum over all Mersenne reciprocals, namelyAlthoughis odd. Methods are also indicated for resolving contiguously the first