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Supercongruences for sporadic sequences

Published online by Cambridge University Press:  17 December 2015

Robert Osburn ,
Brundaban Sahu  and
Armin Straub
Robert Osburn
Affiliation:
School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland (robert.osburn@ucd.ie)
Brundaban Sahu
Affiliation:
School of Mathematical Sciences, National Institute of Science Education and Research, Bhubaneswar 751005, India (brundaban.sahu@niser.ac.in)
Armin Straub*
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA (astraub@illinois.edu)
*
* Present address: Max-Planck-Institut für Mathematik, 53111 Bonn, Germany
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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.

Keywords

sporadic sequencessupercongruencesÁpery-like numbersPrimary 11A0711B38
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 59 , Issue 2 , May 2016 , pp. 503 - 518
Copyright
Copyright © Edinburgh Mathematical Society 2016 

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