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Displaying 321 – 340 of 446

Remarks on the LindelÖf Hypothesis

Yuichi Kamiya (2004)

Publications de l'Institut Mathématique

Répartition des zéros des fonctions $L$ et matrices aléatoires

Philippe Michel (2000/2001)

Séminaire Bourbaki

Second moments of Dirichlet $L$ -functions weighted by Kloosterman sums

Tingting Wang (2012)

Czechoslovak Mathematical Journal

For the general modulo $q \geq 3$ and a general multiplicative character $χ$ modulo $q$ , the upper bound estimate of $| S (m, n, 1, χ, q) |$ is a very complex and difficult problem. In most cases, the Weil type bound for $| S (m, n, 1, χ, q) |$ is valid, but there are some counterexamples. Although the value distribution of $| S (m, n, 1, χ, q) |$ is very complicated, it also exhibits many good distribution properties in some number theory problems. The main purpose of this paper is using the estimate for $k$ -th Kloosterman sums and analytic method to study the asymptotic properties...

Séries de Dirichlet associées à des fractions rationnelles de plusieurs variables

Patrick SARGOS (1981/1982)

Seminaire de Théorie des Nombres de Bordeaux

Séries hypergéométriques et irrationalité des valeurs de la fonction zêta de Riemann

Tanguy Rivoal (2003)

Journal de théorie des nombres de Bordeaux

Nous effectuons un survol des résultats connus sur la nature diophantienne des valeurs de la fonction zêta de Riemann aux entiers. Nous mettons en particulier l’accent sur le rôle important des séries hypergéométriques dans les démonstrations de l’irrationalité de $ζ (2), ζ (3)$ et d’une infinité des nombres $ζ (2 n + 1)$ .

Séries hypergéométriques multiples et polyzêtas

J. Cresson, S. Fischler, T. Rivoal (2008)

Bulletin de la Société Mathématique de France

Nous décrivons un algorithme théorique et effectif permettant de démontrer que des séries et intégrales hypergéométriques multiples relativement générales se décomposent en combinaisons linéaires à coefficients rationnels de polyzêtas.

Sieve methods and class-number probelms. II.

Mohan Nair, Alberto Perelli (1988)

Journal für die reine und angewandte Mathematik

Sieve methods and class-number problems III.

Mohan Nair, Alberto Perelli (1991)

Journal für die reine und angewandte Mathematik

Sign-changes of the Thue-Morse Fractal Function and Dirichlet L-Series.

Michael Drmota, Mariusz Skalba (1995)

Manuscripta mathematica

Simple zeros of the zeta function of a quadratic number field. I.

S.M. Gonek, J.B. Conrey, A. Ghosh (1986)

Inventiones mathematicae

Simultaneous generation of Koecher and Almkvist-Granville's Apéry-like formulae.

Rivoal, T. (2004)

Experimental Mathematics

Small gaps between zeros of twisted L-functions

J. B. Conrey, H. Iwaniec, K. Soundararajan (2012)

Acta Arithmetica

Small values of the Riemann zeta function on the critical line

Justas Kalpokas, Paulius Šarka (2015)

Acta Arithmetica

We investigate real values of the Riemann zeta function on the critical line. We show that if Gram's points do not intersect with the ordinates of the nontrivial zeros of the Riemann zeta function then the Riemann zeta function takes arbitrarily small real values on the critical line.

Some definite integrals associated with the Riemann zeta function.

Srivastava, H.M., Glasser, M.L., Adamchik, V.S. (2000)

Zeitschrift für Analysis und ihre Anwendungen

Some formulas for the Riemann zeta function at odd integer argument resulting from Fourier expansions of the Epstein zeta function

A. Terras (1976)

Acta Arithmetica

Several problems and results on mean values of $ζ (s)$ are discussed. These include mean values of $| ζ (\frac{1}{2} + i t) |$ and the fourth moment of $| ζ (σ + i t) |$ for $1 / 2 < σ < 1$ .

Some remarks on the distribution of a sequence connected with $ζ (\frac{1}{2})$ .

Baxa, Christoph (2002)

Experimental Mathematics

Currently displaying 321 – 340 of 446

Previous Page 17 Next

Displaying 321 – 340 of 446

Remarks on the LindelÖf Hypothesis

Répartition des zéros des fonctions $L$ et matrices aléatoires

Second moments of Dirichlet $L$ -functions weighted by Kloosterman sums

Séries de Dirichlet associées à des fractions rationnelles de plusieurs variables

Séries hypergéométriques et irrationalité des valeurs de la fonction zêta de Riemann

Séries hypergéométriques multiples et polyzêtas

Sieve methods and class-number probelms. II.

Sieve methods and class-number problems III.

Sign-changes of the Thue-Morse Fractal Function and Dirichlet L-Series.

Simple zeros of the zeta function of a quadratic number field. I.

Simultaneous generation of Koecher and Almkvist-Granville's Apéry-like formulae.

Small gaps between zeros of twisted L-functions

Small values of the Riemann zeta function on the critical line

Some definite integrals associated with the Riemann zeta function.

Some formulas for the Riemann zeta function at odd integer argument resulting from Fourier expansions of the Epstein zeta function

Some identities involving the Dirichlet L-function

Some new estimates in the Dirichlet divisor problem

Some problems concerning roots of polynomials with Dirichlet characters as coefficients

Some problems on mean values of the Riemann zeta-function

Some remarks on the distribution of a sequence connected with $ζ (\frac{1}{2})$ .

Currently displaying 321 – 340 of 446