Density of discriminants of cubic extensions.
Density of M-sets in arithmetic progression
Density of rational points on an algebraic group. (Densité des points rationnels sur un groupe algébrique.)
Density of rational points on an algebraic group. Errata. (Densité des points rationnels sur un groupe algébrique (errata).)
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 .
Density of some sequences modulo 1
Recently, Cilleruelo, Kumchev, Luca, Rué and Shparlinski proved that for each integer a ≥ 2 the sequence of fractional parts is everywhere dense in the interval [0,1]. We prove a similar result for all Pisot numbers and Salem numbers α and show that for each c > 0 and each sufficiently large N, every subinterval of [0,1] of length contains at least one fractional part Q(αⁿ)/n, where Q is a nonconstant polynomial in ℤ[z] and n is an integer satisfying 1 ≤ n ≤ N.
Density results for the 2-classgroups of imaginary quadratic fields.
Density theorems for exceptional eigenvalues of the Laplacian for congruence groups
Dépendance d’exponentielles -adiques
Der 4-Werte-Satz in der Zahlentheorie
Der Cebotarev'sche Dichtigkeitssatz und ein Analogon zum Dirichlet'schen Primzahlsatz für algebraische Funktionenkörper.
Der Definitionskörper für den Zerfall einer abelschen Varietät mit komplexer Multiplikation.
Der Differenzensatz von van der Corput und gleichverteilte Funktionen.
Der dritte Gausssche Beweis des Reciprocitätsgesetzes für die quadratischen Reste, in vereinfachter Darstellung.
Der Eindeutigkeitssatz für Demuskinformationen.
Der Hilbertsche Irreduzibilitätssatz und Primzahlfragen.
Der individuelle Ergodensatz in der Theorie der Gleichverteilung mod 1.