Experimental Mathematics

Borwein and Bradley's Apéry-like formulae for {$\zeta(4n+3)$}

Gert Almkvist and Andrew Granville

Abstract

We prove a formula for $\zeta(4n+3)$ discovered by Borwein and Bradley (Experimental Mathematics 6:3 (1997), 181-194).

Article information

Source
Experiment. Math., Volume 8, Issue 2 (1999), 197-203.

Dates
First available in Project Euclid: 12 March 2003

Permanent link to this document
https://projecteuclid.org/euclid.em/1047477060

Mathematical Reviews number (MathSciNet)
MR1700578

Zentralblatt MATH identifier
0976.11035

Subjects
Primary: 11Y60: Evaluation of constants
Secondary: 11M06: $\zeta (s)$ and $L(s, \chi)$

Citation

Almkvist, Gert; Granville, Andrew. Borwein and Bradley's Apéry-like formulae for {$\zeta(4n+3)$}. Experiment. Math. 8 (1999), no. 2, 197--203. https://projecteuclid.org/euclid.em/1047477060


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