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Fix an element $α$ in a quadratic field $K$ . Define $S$ as the set of rational primes $p$ , for which $α$ has maximal order modulo $p$ . Under the assumption of the generalized Riemann hypothesis, we show that $S$ has a density. Moreover, we give necessary and sufficient conditions for the density of $S$ to be positive.

Asimptotic Distribution and Weak Convergence on Compact Riemannian Manifolds.

Martin Blümlinger (1990)

Monatshefte für Mathematik

Aspectos computacionales de los números primos (I).

José Luis Gómez Pardo (2001)

Gaceta de la Real Sociedad Matemática Española

Aspects numériques de la détermination du l-groupe des classes d'idéaux des extensions cycliques de degré premier l

Georges Gras (1972/1973)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Associated orders of certain extensions arising from Lubin-Tate formal groups

Nigel P. Byott (1997)

Journal de théorie des nombres de Bordeaux

Let $k$ be a finite extension of $ℚ_{p}$ , let $k_{1}$ , respectively $k_{3}$ , be the division fields of level $1$ , respectively $3$ , arising from a Lubin-Tate formal group over $k$ , and let $Γ =$ Gal( $k_{3} / k_{1}$ ). It is known that the valuation ring $k_{3}$ cannot be free over its associated order $𝔄$ in $K Γ$ unless $k = ℚ_{p}$ . We determine explicitly under the hypothesis that the absolute ramification index of $k$ is sufficiently large.

Asymptotic analysis and special values of generalised multiple zeta functions

M. Zakrzewski (2012)

Banach Center Publications

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...

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Displaying 1861 – 1880 of 16591

Artin-Root Numbers and Normal Integral Bases for Quaternion Fields.

Artin's conjecture for septic and unidecic forms

Artin's conjecture in algebraic number fields and a related question concerning units

Artin's conjecture on primes with prescribed primitive roots

Artin's conjecture, Turing's method, and the Riemann hypothesis.

Artin's primitive root conjecture for quadratic fields

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

Asymptotic analysis and special values of generalised multiple zeta functions

Asymptotic analysis of Ramanujan pairs.

Asymptotic analysis of Ramanujan pairs. (Short Communication).

Asymptotic aspects of the Diophantine equation $p^{k} x^{n k} - z^{k} = l$

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 $p$ -adic ${𝐆𝐒𝐩}_{(4)}$

Asymptotic densities of sets of positive integers

Currently displaying 1861 – 1880 of 16591