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Ramanujan-type supercongruences

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posted on 2025-05-10, 07:55 authored by W. Zudilin
We present several supercongruences that may be viewed as p-adic analogues of Ramanujan-type series for 1/π and 1/π², and prove three of these examples.

History

Journal title

Journal of Number Theory

Volume

129

Issue

8

Pagination

1848-1857

Publisher

Academic Press

Language

  • en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

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    Keywords

    supercongruenceRamanujan series for 1/πhypergeometric seriesWZ-method

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