Densités, moyennes et ensemble représentatif : unification du cas discret et du cas continu
Densities for 3-class ranks in certain cubic extensions.
Densities for 3-class ranks of pure cubic fields
Densities for certain -ranks in cyclic fields of degree
Densities in disjoint unions
Densities of 4-ranks of K₂(𝒪)
Density estimates for the zeros of L-functions
Density Functions for Prime and Relatively Prime Numbers.
Density inequalities for a restricted sum of sets of lattice points
Density modulo 1 in local fields
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.