'Divergent' Ramanujan-type supercongruences

Guillera, Jesús; Zudilin, W.

'Divergent' Ramanujan-type supercongruences

journal contribution

posted on 2025-05-08, 13:55 authored by Jesús Guillera, W. Zudilin

"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.

Funding

ARC

DP110104419

History

Journal title

Proceedings of the American Mathematical Society

Volume

140

Issue

3

Pagination

765-777

Publisher

American Mathematical Society

Language

en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

Rights statement

First published in Proceedings of the American Mathematical Society in Vol. 140, No. 3, 2012, published by the American Mathematical Society

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Keywords

congruence hypergeometric series Ramanujan type identities creative telescoping

'Divergent' Ramanujan-type supercongruences

Funding

ARC

DP110104419

History

Journal title

Volume

Issue

Pagination

Publisher

Language

College/Research Centre

School

Rights statement

Usage metrics

Categories

Keywords

Licence

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