Quadratische und kubische Restkriterien für das Auftreten einer Fibonacci-Primitivwurzel.
Quadratsummen in Restklassenringen.
Quadratsummen in Restklassenringen.
Quasi-Fibonacci numbers of order 11.
Quasi-Fibonacci numbers of the seventh order.
Regular arithmetical convolutions and the solutions of linear congruences
Regular coverings of the integers by arithmetic progressions
Remarks on systems of congruence classes
Résidus de puissances et formes quadratiques
Pour tout entier et certains entiers , les nombres premiers - congrus à 1 modulo - tels que soit le résidu d’une puissance -ième modulo sont caractérisés par le fait que certains systèmes de formes quadratiques à coefficients entiers en variables représentent le -uplet . La démonstration de ce résultat est accompagnée d’une méthode explicite de construction de ces systèmes.
Résultats et problèmes en théorie des nombres
Results on disjoint covering systems on the ring of integers
Řetězové pravidlo u shod
Schinzel's conjecture H and divisibility in abelian linear recurring sequences
Sequences of reducible -polynomials modulo a prime.
Sequenzen der Länge 2 von Restklassencharakteren.
Short character sums with Fermat quotients
Short remark on Fibonacci-Wieferich primes
This paper has been inspired by the endeavour of a large number of mathematicians to discover a Fibonacci-Wieferich prime. An exhaustive computer search has not been successful up to the present even though there exists a conjecture that there are infinitely many such primes. This conjecture is based on the assumption that the probability that a prime is Fibonacci-Wieferich is equal to . According to our computational results and some theoretical consideratons, another form of probability can...
Simple proofs of some generalizations of the Wilson’s theorem
In this paper a remarkable simple proof of the Gauss’s generalization of the Wilson’s theorem is given. The proof is based on properties of a subgroup generated by element of order 2 of a finite abelian group. Some conditions equivalent to the cyclicity of (Φ(n), ·n), where n > 2 is an integer are presented, in particular, a condition for the existence of the unique element of order 2 in such a group.
Some Applications of Sieve Methods in Algebra Number Fields.
Some Arithmetic Properties of the OLIVIER Functions.