Palindromic powers.
Parametric geometry of numbers and applications
Partial sums of modulo 1.
Pell and Pell-Lucas numbers of the form
In this paper, we find all Pell and Pell-Lucas numbers written in the form , in nonnegative integers , , , with .
Perfect powers in products of integers from a block of consecutive integers
Perfect powers in products of integers from a block of consecutive integers (II)
Perfect powers in the summatory function of the power tower
Let be the sequence given by and for . In this paper, we show that the only solution of the equationis in positive integers and is .
Périodes et isogénies des variétés abéliennes sur les corps de nombres
Periodic Jacobi-Perron expansions associated with a unit
We prove that, for any unit in a real number field of degree , there exits only a finite number of n-tuples in which have a purely periodic expansion by the Jacobi-Perron algorithm. This generalizes the case of continued fractions for . For we give an explicit algorithm to compute all these pairs.
Periodic multiplicative algorithms of Selmer type.
Periodicity of p-adic continued fractions.
Petites solutions des congruences
Pisot sequences which satisfy no linear recurrence
Pisot sequences which satisfy no linear recurrence II
Points algébriques sur les courbes elliptiques -adiques de Tate
Polylogarithms in the field of omega (a root of given cubic): Functional equations and ladders.
Polynômes de Lagrange sur les entiers d'un corps quadratique imaginaire
L'objet de ce texte est de donner une estimation arithmétique des valeurs prises par les polynômes de Lagrange sur les entiers d'un corps quadratique imaginaire en des points de ce corps. Ces polynômes interviennent dans l'étude des fonctions entières arithmétiques et dans les minorations de formes linéaires de Logarithmes.
Polynomial continued fractions
Polynomials with high multiplicity
Polynomials with small discriminants and regular systems of real algebraic numbers.