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Displaying 161 – 180 of 245

Birational transformations and values of the Riemann zeta-function

Carlo Viola (2003)

Journal de théorie des nombres de Bordeaux

In his proof of Apery’s theorem on the irrationality of $ζ (3)$ , Beukers [B] introduced double and triple integrals of suitable rational functions yielding good sequences of rational approximations to $ζ (2)$ and $ζ (3)$ . Beukers’ method was subsequently improved by Dvornicich and Viola, by Hata, and by Rhin and Viola. We give here a survey of our recent results ([RV2] and [RV3]) on the irrationality measures of $ζ (2)$ and $ζ (3)$ based upon a new algebraic method involving birational transformations and permutation groups...

Bloch and Kato's exponential map: three explicit formulas.

Berger, Laurent (2003)

Documenta Mathematica

Block additive functions on the Gaussian integers

Michael Drmota, Peter J. Grabner, Pierre Liardet (2008)

Acta Arithmetica

Block Factorization of Hankel Matrices and Euclidean Algorithm

S. Belhaj (2010)

Mathematical Modelling of Natural Phenomena

It is shown that a real Hankel matrix admits an approximate block diagonalization in which the successive transformation matrices are upper triangular Toeplitz matrices. The structure of this factorization was first fully discussed in [1]. This approach is extended to obtain the quotients and the remainders appearing in the Euclidean algorithm applied to two polynomials u(x) and v(x) of degree n and m, respectively, whith m < ...

Block systems of a Galois group.

Hulpke, Alexander (1995)

Experimental Mathematics

Block uniform distribution of random sequences. (Blockgleichverteilung von Zufallszahlenfolgen.)

Tichy, Robert (1987)

Séminaire Lotharingien de Combinatoire [electronic only]

Blocks and progressions in subset sum sets

Vsevolod F. Lev (2003)

Acta Arithmetica

Blocks for symmetric groups and their covering groups and quadratic forms.

Erdmann, Karin, Michler, Gerhard O. (1996)

Beiträge zur Algebra und Geometrie

Bohr local properties of $C_{Λ} (T)$

Françoise Lust-Piquard (1989)

Colloquium Mathematicae

Bombieri's theorem in short intervals

A. Perelli, J. Pintz, S. Salerno (1984)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Bombieri's theorem in short intervals. II.

A. Perelli, J. Pintz, S. Salerno (1985)

Inventiones mathematicae

Bombieri-Vinogradov type theorems for sparse sets of moduli

Stephan Baier, Liangyi Zhao (2006)

Acta Arithmetica

Borne polynomiale pour le nombre de points rationnels des courbes

Gaël Rémond (2011)

Journal de Théorie des Nombres de Bordeaux

Soit $F$ un polynôme en deux variables, de degré $D$ et à coefficients entiers dans $[- M, M]$ pour $M \geq 3$ . Alors le nombre de zéros rationnels de $F$ est soit infini soit plus petit que $M^{2^{3^{D^{2}}}}$ . Nous montrons aussi une version plus générale sur les corps de nombres.

Bornes effectives pour certaines fonctions concernant les nombres premiers

Jean-Pierre Massias, Guy Robin (1996)

Journal de théorie des nombres de Bordeaux

Si $p_{k}$ est le k $^{è m e}$ nombre premier, $θ (p_{k}) = \sum_{i = 1}^{k} log p_{i}$ la fonction de Chebyshev. Nous obtenons de nouvelles estimations et des améliorations des bornes données par Rosser et Schoenfeld, Schoenfeld et Robin pour les fonctions $p_{k}, θ (p_{k}), S_{k} = \sum_{i = 1}^{k} p_{i}, et S (x) = \sum_{p \leq x} p .$ Ces estimations sont obtenues en utilisant des méthodes basées sur l’intégrale de Stieltjes et par calcul direct pour les petites valeurs.

Currently displaying 161 – 180 of 245

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Displaying 161 – 180 of 245

Birational transformations and values of the Riemann zeta-function

Bloch and Kato's exponential map: three explicit formulas.

Block additive functions on the Gaussian integers

Block Factorization of Hankel Matrices and Euclidean Algorithm

Block systems of a Galois group.

Block uniform distribution of random sequences. (Blockgleichverteilung von Zufallszahlenfolgen.)

Blocks and progressions in subset sum sets

Blocks for symmetric groups and their covering groups and quadratic forms.

Bohr local properties of $C_{Λ} (T)$

Bombieri's theorem in short intervals

Bombieri's theorem in short intervals. II.

Bombieri-Vinogradov type theorems for sparse sets of moduli

Borne polynomiale pour le nombre de points rationnels des courbes

Bornes effectives pour certaines fonctions concernant les nombres premiers

Borwein and Bradley's Apéry-like formulae for $ζ (4 n + 3)$ .

Boundary cohomology of Shimura varieties. I. Coherent cohomology on toroidal compactifications

Boundary cohomology of Shimura varieties, II. Hodge theory at the boundary (Erratum).

Boundary cohomology of Shimura varieties. II. Hodge theory at the boundary.

Boundary conditions for expanding domains

Bounded discrepancy sets

Currently displaying 161 – 180 of 245