Constructing fifteen infinite classes of nonregular bipartite integral graphs.
Construction d'une table de nombres congruents
Continued fractions of Laurent series with partial quotients from a given set
Contre-exemples au principe de Hasse pour certains tores coflasques
Nous étudions le comportement asymptotique du nombre de variétés dans une certaine classe ne satisfaisant pas le principe de Hasse. Cette étude repose sur des résultats récemment obtenus par Colliot-Thélène [3].
Contre-exemples au principe de Hasse pour les courbes de Fermat
Let p be an odd prime number. In this paper, we are concerned with the behaviour of Fermat curves defined over ℚ, given by equations , with respect to the local-global Hasse principle. It is conjectured that there exist infinitely many Fermat curves of exponent p which are counterexamples to the Hasse principle. This is a consequence of the abc-conjecture if p ≥ 5. Using a cyclotomic approach due to H. Cohen and Chebotarev’s density theorem, we obtain a partial result towards this conjecture, by...
Corps biquadratiques monogènes.
Corps de nombres algébriques d'anneau d'entiers monogène
Correction to: On Thue's equation. Invent. Math. 88, 69-81 (1987).
Corrections to "A quantitative version of Runge's theorem on diophantine equations" (Acta Arith. 62 (1992), 157-172)
Corrections to “How to explicitly solve a Thue-Mahler equation”
Corrections to the paper "On values of a polynomial a arithmetic progressions with equal products" (Acta Arith. 72 (1995), 67-76)
(Corrigenda) Über die Lösbarkeit gewisser diophantischer Gleichungen dritten Grades.
Corrigendum to "Representatons of multivariate polynomials by sums of univariate polynomials in linear forms" (Colloq. Math. 112 (2008), 201-233)
Corrigendum to the paper "Diophantine equations in cyclotomic fields".
Corrigendum to the paper "The number of solutions of the Mordell equation" (Acta Arith. 88 (1999), 173–179)
Counting all equilateral triangles in .
Counting rational points on cubic and quartic surfaces
Counting rational points on del Pezzo surfaces with a conic bundle structure
For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.
Counting solutions of decomposable form equations
Counting with Gauss' sums.