Supercongruences for the Almkvist-Zudilin numbers

Tewodros Amdeberhan; Roberto Tauraso

Acta Arithmetica (2016)

  • Volume: 173, Issue: 3, page 255-268
  • ISSN: 0065-1036

Abstract

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We prove a conjecture on supercongruences for sequences that have come to be known as the Almkvist-Zudilin numbers. Some other (naturally) related family of sequences will be considered in a similar vain.

How to cite

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Tewodros Amdeberhan, and Roberto Tauraso. "Supercongruences for the Almkvist-Zudilin numbers." Acta Arithmetica 173.3 (2016): 255-268. <http://eudml.org/doc/286344>.

@article{TewodrosAmdeberhan2016,
abstract = {We prove a conjecture on supercongruences for sequences that have come to be known as the Almkvist-Zudilin numbers. Some other (naturally) related family of sequences will be considered in a similar vain.},
author = {Tewodros Amdeberhan, Roberto Tauraso},
journal = {Acta Arithmetica},
keywords = {congruences; Fermat quotients; binomial coefficients; harmonic numbers},
language = {eng},
number = {3},
pages = {255-268},
title = {Supercongruences for the Almkvist-Zudilin numbers},
url = {http://eudml.org/doc/286344},
volume = {173},
year = {2016},
}

TY - JOUR
AU - Tewodros Amdeberhan
AU - Roberto Tauraso
TI - Supercongruences for the Almkvist-Zudilin numbers
JO - Acta Arithmetica
PY - 2016
VL - 173
IS - 3
SP - 255
EP - 268
AB - We prove a conjecture on supercongruences for sequences that have come to be known as the Almkvist-Zudilin numbers. Some other (naturally) related family of sequences will be considered in a similar vain.
LA - eng
KW - congruences; Fermat quotients; binomial coefficients; harmonic numbers
UR - http://eudml.org/doc/286344
ER -

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