Artin's conjecture, Turing's method, and the Riemann hypothesis.
Artin's primitive root conjecture for quadratic fields
Fix an element in a quadratic field . Define as the set of rational primes , for which has maximal order modulo . Under the assumption of the generalized Riemann hypothesis, we show that has a density. Moreover, we give necessary and sufficient conditions for the density of to be positive.
Asimptotic Distribution and Weak Convergence on Compact Riemannian Manifolds.
Aspectos computacionales de los números primos (I).
Aspects numériques de la détermination du l-groupe des classes d'idéaux des extensions cycliques de degré premier l
Associated orders of certain extensions arising from Lubin-Tate formal groups
Let be a finite extension of , let , respectively , be the division fields of level , respectively , arising from a Lubin-Tate formal group over , and let Gal(). It is known that the valuation ring cannot be free over its associated order in unless . We determine explicitly under the hypothesis that the absolute ramification index of is sufficiently large.
Asymptotic analysis and special values of generalised multiple zeta functions
This is an expository article, based on the talk with the same title, given at the 2011 FASDE II Conference in Będlewo, Poland. In the introduction we define Multiple Zeta Values and certain historical remarks are given. Then we present several results on Multiple Zeta Values and, in particular, we introduce certain meromorphic differential equations associated to their generating function. Finally, we make some conclusive remarks on generalisations of Multiple Zeta Values as well as the meromorphic...
Asymptotic analysis of Ramanujan pairs.
Asymptotic analysis of Ramanujan pairs. (Short Communication).
Asymptotic aspects of the Diophantine equation
Asymptotic behavior of Pascal's triangle modulo a prime
Asymptotic Behavior of Some Power Series with ...-functions in the Coefficients.
Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations
Asymptotic behaviour of some infinite products involvingprime numbers
Asymptotic behaviour of supercuspidal characters of -adic
Asymptotic densities of sets of positive integers
Asymptotic density in combined number systems.
Asymptotic density of A⊂ ℕ and density of the ratio set R(A)
Asymptotic distribution and symmetric means of algebraic numbers
Schur introduced the problem on the smallest limit point for the arithmetic means of totally positive conjugate algebraic integers. This area was developed further by Siegel, Smyth and others. We consider several generalizations of the problem that include questions on the smallest limit points of symmetric means. The key tool used in the study is the asymptotic distribution of algebraic numbers understood via the weak* limits of their counting measures. We establish interesting properties of the...
Asymptotic estimates for phi functions for subsets of .