Factorisation de fractions rationnelles et de suites récurrentes
Factorisation de suites récurrentes linéaires
Factorisation de suites récurrentes linéaires et applications
Factorisation in fractional powers
Fifteen problems in number theory.
Fonctions Entières Prenant des Valeurs Presque Entières aux Points d'une Progression Géométrique.
Fonctions multiplicatives et équations différentielles
Funzione generatrice e polinomi incompleti di Fibonacci e Lucas
I numeri incompleti di Fibonacci e di Lucas, introdotti da Filipponi (1996), sono entrambi generalizzati in forma di polinomi. Le loro funzioni generatrici ridondanti, naturali e condizionate sono stabilite attraverso serie formali di potenze. Le funzioni generatrici relative alle sequenze di numeri dovute a Pinter e Srivastava (1999) sono contenute come casi particolari.
Further remarks on Diophantine quintuples
A set of m positive integers with the property that the product of any two of them is the predecessor of a perfect square is called a Diophantine m-tuple. Much work has been done attempting to prove that there exist no Diophantine quintuples. In this paper we give stringent conditions that should be met by a putative Diophantine quintuple. Among others, we show that any Diophantine quintuple a,b,c,d,e with a < b < c < d < ed < 1.55·1072b < 6.21·1035c = a + b + 2√(ab+1) and ...