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Displaying 1 – 20 of 38

A Class of Discrete Spectra of Non-Pisot Numbers

Dragan Stankov (2008)

Publications de l'Institut Mathématique

A fast algorithm for MacMahon's partition analysis.

Xin, Guoce (2004)

The Electronic Journal of Combinatorics [electronic only]

A Lower Bound for the de Bruijn-Newman Constant ... .

R.S. Varga, G. Csordas, T.S. Norfolk (1987/1988)

Numerische Mathematik

A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant $Λ$ .

Csordas, G., Odlyzko, A.M., Smith, W., Varga, R.S. (1993)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

A new lower bound for the de Bruijn-Newman constant.

H.J.J. te Riele (1990/1991)

Numerische Mathematik

A new method to obtain series for $1 / π$ and $1 / π^{2}$ .

Guillera, Jesús (2006)

Experimental Mathematics

An accurate approximation of zeta-generalized-Euler-constant functions

Vito Lampret (2010)

Open Mathematics

Zeta-generalized-Euler-constant functions, $γ (s) : = \sum_{k = 1}^{\infty} (\frac{1}{k^{s}} - \int_{k}^{k + 1} \frac{d x}{x^{s}})$ and $\tilde{γ} (s) : = \sum_{k = 1}^{\infty} {(- 1)}^{k + 1} (\frac{1}{k^{s}} - \int_{k}^{k + 1} \frac{d x}{x^{s}})$ defined on the closed interval [0, ∞), where γ(1) is the Euler-Mascheroni constant and $\tilde{γ}$ (1) = ln $\frac{4}{π}$ , are studied and estimated with high accuracy.

An Apéry-like difference equation for Catalan's constant.

Zudilin, W. (2003)

The Electronic Journal of Combinatorics [electronic only]

An asymptotic approximation of Wallis’ sequence

Vito Lampret (2012)

Open Mathematics

An asymptotic approximation of Wallis’ sequence W(n) = Πk=1n 4k 2/(4k 2 − 1) obtained on the base of Stirling’s factorial formula is presented. As a consequence, several accurate new estimates of Wallis’ ratios w(n) = Πk=1n(2k−1)/(2k) are given. Also, an asymptotic approximation of π in terms of Wallis’ sequence W(n) is obtained, together with several double inequalities such as, for example, $W (n) \cdot (a_{n} + b_{n}) < π < W (n) \cdot (a_{n} + b_{n}^{'})$ with $a_{n} = 2 + \frac{1}{2 n + 1} + \frac{2}{3 {(2 n + 1)}^{2}} - \frac{1}{3 n {(2 n + 1)}^{'}} b_{n} = \frac{2}{33 {(n + 1)}^{2^{'}}} b_{n}^{'} \frac{1}{13 n^{2^{'}}} n \in ℕ$ .

Another relation between π, e, γ and ζ(n).

Luis J. Boya (2008)

RACSAM

Around Apéry's constant.

Janous, Walther (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Binary BBP-formulae for logarithms and generalized Gaussian-Mersenne primes.

Chamberland, Marc (2003)

Journal of Integer Sequences [electronic only]

Combinatorial aspects of multiple zeta values.

Borwein, Jonathan M., Bradley, David M., Broadhurst, David J., Lisoněk, Petr (1998)

The Electronic Journal of Combinatorics [electronic only]

Computer-free evaluation of an infinite double sum via Euler sums.

Panholzer, Alois, Prodinger, Helmut (2005)

Séminaire Lotharingien de Combinatoire [electronic only]

Construction of binomial sums for $π$ and polylogarithmic constants inspired by BBP formulas.

Gourévitch, Boris, Guillera Goyanes, Jesús (2007)

Applied Mathematics E-Notes [electronic only]

Ein Beitrag zur analytischen Zahlentheorie.

Franz Mertens (1874)

Journal für die reine und angewandte Mathematik

Elementary proof of Yu. V. Nesterenko expansion of the number zeta(3) in continued fraction.

Gutnik, Leonid (2010)

Advances in Difference Equations [electronic only]

Euler constants for arithmetic progressions

D. Lehmer (1975)

Acta Arithmetica

Evaluations of $k$ -fold Euler/Zagier sums: a compendium of results for arbitrary $k$ .

Borwein, J.M., Bradley, D.M., Broadhurst, D.J. (1997)

The Electronic Journal of Combinatorics [electronic only]

Experimental determination of Apéry-like identities for $ζ (2 n + 2)$ .

Bailey, David H., Borwein, Jonathan M., Bradley, David M. (2006)

Experimental Mathematics

Currently displaying 1 – 20 of 38

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