Darstellung natürlicher Zahlen als Summe von Quadraten
Decomposable form equations with a small linear scattering.
Décomposition du carré d’un nombre et de ce nombre lui-même en sommes quadratiques de la forme étant un nombre rationnel, positif ou négatif ; résolution en nombres entiers du système des équations indéterminées
Décomposition du carré d’un nombre N et de ce nombre lui-même en sommes quadratiques de la forme étant un nombre rationnel positif ou négatif ; résolution en nombres entiers du système des équations indéterminées
Decomposition of an integer as a sum of two cubes to a fixed modulus
Deformations of Diophantine systems for quadratic forms of the root lattices .
Delay Model of Hematopoietic Stem Cell Dynamics: Asymptotic Stability and Stability Switch
A nonlinear system of two delay differential equations is proposed to model hematopoietic stem cell dynamics. Each equation describes the evolution of a sub-population, either proliferating or nonproliferating. The nonlinearity accounting for introduction of nonproliferating cells in the proliferating phase is assumed to depend upon the total number of cells. Existence and stability of steady states are investigated. A Lyapunov functional is built to obtain the global asymptotic stability of the...
Démonstration des propositions de M. Lionnet
Démonstration d'un théorème de Fermat
Denser Egyptian fractions
Density of rational points on cyclic covers of
We obtain upper bound for the density of rational points on the cyclic covers of . As our estimate tends to the conjectural bound of Serre.
Density of rational points on elliptic fibrations
Density of rational points on elliptic fibrations-II
Density of solutions to quadratic congruences
A classical result in number theory is Dirichlet’s theorem on the density of primes in an arithmetic progression. We prove a similar result for numbers with exactly prime factors for . Building upon a proof by E. M. Wright in 1954, we compute the natural density of such numbers where each prime satisfies a congruence condition. As an application, we obtain the density of squarefree with prime factors such that a fixed quadratic equation has exactly solutions modulo .
Der 4-Werte-Satz in der Zahlentheorie
Dernier théorème de Fermat et groupes de classes dans certains corps quadratiques imaginaires
Determinanti polinomiali-esponenziali
Dati o numeri algebrici non nulli tali che non è una radice dell'unità per ogni , consideriamo una classe di determinanti di Vandermonde generalizzati di ordine quattro , al variare di in , connessa con alcuni problemi diofantei. Dimostriamo che il numero delle soluzioni in posizione generica dell'equazione polinomiale-esponenziale disomogenea non supera una costante esplicita dipendente solo da .
Determinants in the study of Thue's method and curves with prescribed singularities.
Determinants of knots and Diophantine equations
Détermination de courbes elliptiques pour la conjecture de Szpiro