Un caso d'impossibilità dell'equazione indeterminata: .
Un problème binaire en théorie additive
Unbounded discrepancy in Frobenius numbers.
Une classe d'équations cubiques
Uniform bounds for Fourier coefficients of theta-series with arithmetic applications
Uniform Distribution and Diophantine Inequalities.
Uniformly counting rational points on conics
We provide an asymptotic estimate for the number of rational points of bounded height on a non-singular conic over ℚ. The estimate is uniform in the coefficients of the underlying quadratic form.
Unisequences and nearest integer continued fraction midpoint criteria for Pell's equation.
Unités relatives
Units generating the ring of integers of complex cubic fields
All purely cubic fields such that their maximal order is generated by its units are determined.
Universality of a non-classical integral quadratic form over ℚ(√5)
Unsolvability of the Pell minus-equation for certain odd discriminants
Untere Schranken für Lösungen der Fermatschen Gleichung
Upper bounds for the degrees of decomposable forms of given discriminant
1. Introduction. In our paper [5] a sharp upper bound was given for the degree of an arbitrary squarefree binary form F ∈ ℤ[X,Y] in terms of the absolute value of the discriminant of F. Further, all the binary forms were listed for which this bound cannot be improved. This upper estimate has been extended by Evertse and the author [3] to decomposable forms in n ≥ 2 variables. The bound obtained in [3] depends also on n and is best possible only for n = 2. The purpose of the present paper is to establish...
Using Lucas sequences to generalize a theorem of Sierpiński
Úvod do elementární teorie číselné [Book]
Values of isotropic quadratic forms at -integral points
Values of quadratic forms at primitive integral points.
Variants of the Brocard-Ramanujan equation
In this paper, we discuss variations on the Brocard-Ramanujan Diophantine equation.
Variationen über ein diophantisches Thema.