Almost-primes represented by quadratic polynomials
Almost-sure growth rate of generalized random Fibonacci sequences
We study the generalized random Fibonacci sequences defined by their first non-negative terms and for n≥1, Fn+2=λFn+1±Fn (linear case) and ̃Fn+2=|λ̃Fn+1±̃Fn| (non-linear case), where each ± sign is independent and either + with probability p or − with probability 1−p (0<p≤1). Our main result is that, when λ is of the form λk=2cos(π/k) for some integer k≥3, the exponential growth of Fn for 0<p≤1, and of ̃Fn for 1/k<p≤1, is almost surely positive and given by ∫0∞log x dνk, ρ(x),...
Amélioration de la constante de Šnirelman dans le problème de Goldbach
Amélioration de la majoration de dans le problème de Waring :
Amélioration de la majoration de g(4) dans le problème de Waring: g(4)≤30
Amélioration d'une congruence pour certains éléments de Stickelberger quadratiques
Amélioration effective du théorème de Liouville
Amenability, Poincaré series and quasiconformal maps.
Amicable Pell numbers.
An theorem over function fields and applications
We provide a lower bound for the number of distinct zeros of a sum for two rational functions , in term of the degree of , which is sharp whenever have few distinct zeros and poles compared to their degree. This sharpens the “-theorem” of Brownawell-Masser and Voloch in some cases which are sufficient to obtain new finiteness results on diophantine equations over function fields. For instance, we show that the Fermat-type surface contains only finitely many rational or elliptic curves,...
An A4 extension of Q attached to a non-selfdual automorphic form on GL(3).
An absolute Siegel's Lemma.
An Abstract Treatment of the Module of Quadratic Forms over a Semi-local Ring.
An accurate approximation of zeta-generalized-Euler-constant functions
Zeta-generalized-Euler-constant functions, and defined on the closed interval [0, ∞), where γ(1) is the Euler-Mascheroni constant and (1) = ln , are studied and estimated with high accuracy.
An addendum to the paper: “Arithmetic functions over rings with zero divisors” by Ruangsinsap, Laohakosol and P. Udomkavanich.
An Addition Theorem for the Elementary Abelian Group of Type (p, p).
An Addition Theorem in a Finite Abelian Group.
An addition theorem on the cyclic group .
An additive divisor problem.
An additive problem in the theory of numbers