Advanced search
Publication Cover
Experimental Mathematics Volume 8, 1999 - Issue 2
Submit an article Journal homepage
41
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Borwein and Bradley's Apérv-Like Formulae for ζ(4n + 3)

Gert Almkvist Department of Mathematics, Lunds Universitet, Box 118, S-221 00 Lund, Sweden E-mail: [email protected]
&
Andrew Granville Department of Mathematics, University of Georgia, Athens, Georgia, 30602, United States E-mail: [email protected]
Pages 197-203 | Published online: 03 Apr 2012

Citations (19)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (3)

Roberto Tauraso. (2020) A bivariate generating function for zeta values and related supercongruences. Journal of Difference Equations and Applications 26:11-12, pages 1526-1537.
Read now
T. Rivoal. (2004) Simultaneous Generation of Koecher and Almkvist-Granville's Apéry-Like Formulae. Experimental Mathematics 13:4, pages 503-508.
Read now
Jonathan M. Borwein & Robert M. Corless. (1999) Emerging Tools for Experimental Mathematics. The American Mathematical Monthly 106:10, pages 889-909.
Read now

Articles from other publishers (16)

P. Akhilesh. (2021) Multiple zeta values and multiple Apéry-like sums. Journal of Number Theory 226, pages 72-138.
Crossref
Wenchang Chu. (2020) Infinite series identities derived from the very well-poised $$\Omega $$-sum. The Ramanujan Journal 55:1, pages 239-270.
Crossref
Weiping Wang & Ce Xu. (2021) Alternating multiple zeta values, and explicit formulas of some Euler–Apéry-type series. European Journal of Combinatorics 93, pages 103283.
Crossref
Wenchang Chu. (2021) Further Apéry-Like Series for Riemann Zeta Function. Mathematical Notes 109:1-2, pages 136-146.
Crossref
K. A. Mirzoev & T. A. Safonova. (2020) Integral Representation of Sums of Series Associated with Special Functions. Mathematical Notes 108:3-4, pages 617-622.
Crossref
Карахан Агахан оглы Мирзоев, Karakhan Agahan ogly Mirzoev, Татьяна Анатольевна Сафонова & Tatyana Anatolievna Safonova. (2020) Интегральное представление сумм некоторых рядов, связанных со специальными функциямиIntegral Representation of Sums of Series Associated with Special Functions. Математические заметки Matematicheskie Zametki 108:4, pages 632-637.
Crossref
E. A. Karatsuba. (2014) On one method for fast approximation of zeta constants by rational fractions. Problems of Information Transmission 50:2, pages 186-202.
Crossref
Zhi-Wei Sun. (2014) p-adic congruences motivated by series. Journal of Number Theory 134, pages 181-196.
Crossref
Kh. Hessami Pilehrood & T. Hessami Pilehrood. (2011) A <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>q</mml:mi></mml:math>-analogue of the Bailey–Borwein–Bradley identity. Journal of Symbolic Computation 46:6, pages 699-711.
Crossref
Roberto Tauraso. (2010) More congruences for central binomial coefficients. Journal of Number Theory 130:12, pages 2639-2649.
Crossref
WENCHANG CHU & DEYIN ZHENG. (2011) INFINITE SERIES WITH HARMONIC NUMBERS AND CENTRAL BINOMIAL COEFFICIENTS. International Journal of Number Theory 05:03, pages 429-448.
Crossref
Denis Simon. 2010. The LLL Algorithm. The LLL Algorithm 265 282 .
Mikhail Yu Kalmykov, Bennie F.L Ward & Scott A Yost. (2007) Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order ε-expansion of generalized hypergeometric functions with one half-integer value of parameter. Journal of High Energy Physics 2007:10, pages 048-048.
Crossref
JONATHAN M. BORWEIN & DAVID M. BRADLEY. (2011) THIRTY-TWO GOLDBACH VARIATIONS. International Journal of Number Theory 02:01, pages 65-103.
Crossref
David H. Bailey & Jonathan M. Borwein. 2001. Mathematics Unlimited — 2001 and Beyond. Mathematics Unlimited — 2001 and Beyond 51 66 .
Jonathan M. Borwein, David M. Bradley & Richard E. Crandall. (2000) Computational strategies for the Riemann zeta function. Journal of Computational and Applied Mathematics 121:1-2, pages 247-296.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.