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Supercongruences for sporadic sequences

Published:2015-12-17 Issue:2 Volume:59 Page:503-518
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Osburn Robert,Sahu Brundaban,Straub Armin

Abstract

AbstractWe prove two-term supercongruences for generalizations of recently discovered sporadic sequences of Cooper. We also discuss recent progress and future directions concerning other types of supercongruences.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference41 articles.

1. A supercongruence for generalized Domb numbers

2. Some Congruences for Generalized Euler Numbers

3. Some congruences for Apéry numbers

4. Some congruences for the Apery numbers

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1. On sporadic sequences;Monatshefte für Mathematik;2024-06-07

2. Gessel–Lucas congruences for sporadic sequences;Monatshefte für Mathematik;2023-08-31

3. Supercongruences concerning lacunary sums of Catalan numbers and binomial coefficients;Publicationes Mathematicae Debrecen;2023-07-01

4. Some conjectural supercongruences related to Bernoulli and Euler numbers;Rocky Mountain Journal of Mathematics;2022-06-01

5. New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences;Experimental Mathematics;2021-10-26

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