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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/934823

Title
'Divergent' Ramanujan-type supercongruences
Author/Creator
Guillera, Jesús;  Zudilin, W.
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.
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
Date
2012
Publisher
American Mathematical Society
Keyword(s)
congruence;  hypergeometric series;  Ramanujan type identities;  creative telescoping
Resource Type
journal article
Rights
First published in Proceedings of the American Mathematical Society in Vol. 140, No. 3, 2012, published by the American Mathematical Society
Identifier
http://hdl.handle.net/1959.13/934823
Identifier
ISSN:0002-9939
Language
eng
Reviewed
Reviewed
 
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Subject
"Proceedings of the American Mathematical Society"
 
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