In praise of an elementary identity of Euler.
Index of irregularity of a prime.
Integer solutions of some Diophantine equations via Fibonacci and Lucas numbers.
Integers with a maximal number of Fibonacci representations
We study the properties of the function which determines the number of representations of an integer as a sum of distinct Fibonacci numbers . We determine the maximum and mean values of for .
Integers with a maximal number of Fibonacci representations
We study the properties of the function R(n) which determines the number of representations of an integer n as a sum of distinct Fibonacci numbers Fk. We determine the maximum and mean values of R(n) for Fk ≤ n < Fk+1.
Inteprétations combinatoires des nombres d#Euler et de Genocchi
Invariance of recurrence sequences under a Galois group.
Irregular imaginary fields
Irregular Primes and Integrality Theorems for Manifolds.
Iterated digit sums, recursions and primality
We examine the congruences and iterate the digit sums of integer sequences. We generate recursive number sequences from triple and quintuple product identities. And we use second order recursions to determine the primality of special number systems.
Iteration of the modular period of a second order linear recurrent sequence