Squares in elliptic divisibility sequences
Betül Gezer, Osman Bizim (2010)
Acta Arithmetica
Florian Luca, P. G. Walsh (2001)
Acta Arithmetica
Pingzhi Yuan, Yuan Li (2009)
Acta Arithmetica
Walsh, P.G. (2005)
Integers
Paulo Ribenboim, Wayne McDaniel (1998)
Colloquium Mathematicae
N. Saradha (1998)
Acta Arithmetica
Christoph Kirfel (1988)
Acta Arithmetica
Somer, Lawrence, Carlip, Walter (2000)
International Journal of Mathematics and Mathematical Sciences
Breuer, Felix, von Heymann, Frederik (2010)
Integers
Karel Mišoň (1951)
Časopis pro pěstování matematiky
Gassko, Irene (1996)
The Electronic Journal of Combinatorics [electronic only]
Serpil Pehlivan, A. Güncan, M. A. Mamedov (2004)
Czechoslovak Mathematical Journal
In this paper we study the set of statistical cluster points of sequences in -dimensional spaces. We show that some properties of the set of statistical cluster points of the real number sequences remain in force for the sequences in -dimensional spaces too. We also define a notion of -statistical convergence. A sequence is -statistically convergent to a set if is a minimal closed set such that for every the set has density zero. It is shown that every statistically bounded sequence...
Karl Dilcher, Kenneth B. Stolarsky (2009)
Acta Arithmetica
A. Schinzel (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
It is proved that the nth Stern polynomial Bₙ(t) in the sense of Klavžar, Milutinović and Petr [Adv. Appl. Math. 39 (2007)] is the numerator of a continued fraction of n terms. This generalizes a result of Graham, Knuth and Patashnik concerning the Stern sequence Bₙ(1). As an application, the degree of Bₙ(t) is expressed in terms of the binary expansion of n.
Takashi Agoh (1998)
Mathematica Slovaca
François Hennecart (1994)
Kybernetika
L. Carlitz (1978)
Rendiconti del Seminario Matematico della Università di Padova
Christian Ballot (1999)
Acta Arithmetica
Todd Cochrane, Robert E. Dressler (1989)
Colloquium Mathematicae
Mehmet Cenkci (2005)
Acta Mathematica Universitatis Ostraviensis
We use the properties of -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.