- Title
- 'Divergent' Ramanujan-type supercongruences
- Creator
- Guillera, Jesús; Zudilin, W.
- Relation
- ARC.DP110104419
- Relation
- Proceedings of the American Mathematical Society Vol. 140, Issue 3, p. 765-777
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9939-2011-10950-X
- Publisher
- American Mathematical Society
- Resource Type
- journal article
- Date
- 2012
- Description
- "Divergent" Ramanujan-type series for 1/π and 1/π2 provide us with new nice examples of supercongruences of the same kind as those related to the convergent cases. In this paper we manage to prove three of the supercongruences by means of the Wilf-Zeilberger algorithmic technique.
- Subject
- congruence; hypergeometric series; Ramanujan type identities; creative telescoping
- Identifier
- http://hdl.handle.net/1959.13/934823
- Identifier
- uon:11893
- Identifier
- ISSN:0002-9939
- Rights
- First published in Proceedings of the American Mathematical Society in Vol. 140, No. 3, 2012, published by the American Mathematical Society
- Language
- eng
- Full Text
- Reviewed
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|---|---|---|---|---|---|---|---|
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