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Supercongruences for sporadic sequences

Published online by Cambridge University Press:  17 December 2015

Robert Osburn
Affiliation:
School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland ([email protected])
Brundaban Sahu
Affiliation:
School of Mathematical Sciences, National Institute of Science Education and Research, Bhubaneswar 751005, India ([email protected])
Armin Straub*
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA ([email protected])
*
* Present address: Max-Planck-Institut für Mathematik, 53111 Bonn, Germany

Abstract

We 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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2016 

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