A Class of Discrete Spectra of Non-Pisot Numbers
A fast algorithm for MacMahon's partition analysis.
A Lower Bound for the de Bruijn-Newman Constant ... .
A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant .
A new lower bound for the de Bruijn-Newman constant.
A new method to obtain series for and .
An accurate approximation of zeta-generalized-Euler-constant functions
Zeta-generalized-Euler-constant functions, and defined on the closed interval [0, ∞), where γ(1) is the Euler-Mascheroni constant and (1) = ln , are studied and estimated with high accuracy.
An Apéry-like difference equation for Catalan's constant.
An asymptotic approximation of Wallis’ sequence
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, with .
Another relation between π, e, γ and ζ(n).
Around Apéry's constant.
Binary BBP-formulae for logarithms and generalized Gaussian-Mersenne primes.
Combinatorial aspects of multiple zeta values.
Computer-free evaluation of an infinite double sum via Euler sums.
Construction of binomial sums for and polylogarithmic constants inspired by BBP formulas.
Ein Beitrag zur analytischen Zahlentheorie.
Elementary proof of Yu. V. Nesterenko expansion of the number zeta(3) in continued fraction.
Euler constants for arithmetic progressions
Evaluations of -fold Euler/Zagier sums: a compendium of results for arbitrary .
Experimental determination of Apéry-like identities for .