On the computation and verification of $$\pi $$ using BBP-type formulas-Reference-Cited by-同舟云学术

On the computation and verification of $$\pi $$ using BBP-type formulas

Published:2019-03-05 Issue:1 Volume:51 Page:177-186
ISSN:1382-4090
Container-title:The Ramanujan Journal
language:en
Short-container-title:Ramanujan J

Author:

Takahashi Daisuke

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s11139-018-0104-x.pdf

Reference22 articles.

1. Adamchik, V., Wagon, S.: $$\pi $$: A 2000-year-old search changes direction. Math. Edu. Res. 5, 11–19 (1996)

2. Adamchik, V., Wagon, S.: A simple formula for $$\pi $$. Am. Math. Mon. 104, 852–855 (1997)

3. Adegoke, K., Lafont, J.O., Layeni, O.: A class of digit extraction BBP-type formulas in general binary bases. Notes Number Theory Discret. Math. 17, 18–32 (2011)

4. Bailey, D.H.: The BBP algorithm for pi. http://www.davidhbailey.com/dhbpapers/bbp-alg.pdf (2006),

5. Bailey, D.H.: A compendium of BBP-type formulas for mathematical constants. http://www.davidhbailey.com/dhbpapers/bbp-formulas.pdf (2017)

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2. New BBP-Type Formulae for π Derived from New Forms of Taylor Expansions of Inverse Tangent Function;Mathematics;2022-01-18

3. Some BBP-type series for polylog integrals;Acta et Commentationes Universitatis Tartuensis de Mathematica;2021-11-17

4. On the use of Montgomery multiplication in the computation of binary BBP-type formulas for mathematical constants;The Ramanujan Journal;2021-07-23