A method for proving Ramanujan’s series for $$1/\pi $$-Reference-Cited by-同舟云学术

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A method for proving Ramanujan’s series for $$1/\pi $$

Published:2019-03-20 Issue:2 Volume:52 Page:421-431
ISSN:1382-4090
Container-title:The Ramanujan Journal
language:en
Short-container-title:Ramanujan J

Author:

Guillera Jesús^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s11139-018-0113-9.pdf

Reference18 articles.

1. Baruah, N.D., Berndt, B.: Eisenstein series and Ramanujan-type series for $$1/\pi $$. Ramanujan J. 23, 17–44 (2010)

2. Baruah, N.D., Berndt, B.: Ramanujan’s series for $$1/\pi $$ arising from his cubic and quartic theory of elliptic functions. J. Math. Anal. Appl. 341, 357–371 (2010)

3. Baruah, N.D., Berndt, B., Chan, H.H.: Ramanujan’s series for $$1/\pi $$: a survey. Am. Math. Monthly 116, 367–387 (2009)

4. Berndt, B.C.: Ramanujan’s Notebooks, Part III. Springer, New York (1991)

5. Berndt, B.C.: Ramanujan’s Notebooks, Part V. Springer, New York (1998)

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1. Asymptotic results of the remainder in a Ramanujan series for 1/π;Expositiones Mathematicae;2022-12

2. q-Analogues of some supercongruences related to Euler numbers;Journal of Difference Equations and Applications;2021-12-10

3. Factors of certain sums involving central q-binomial coefficients;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-12-01

4. Harmonic sums from the Kummer theorem;Journal of Mathematical Analysis and Applications;2021-09

5. Proof of Chudnovskys’ Hypergeometric Series for $$1/\pi $$ Using Weber Modular Polynomials;Transcendence in Algebra, Combinatorics, Geometry and Number Theory;2021

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