Congruences for certain families of Apéry-like sequences

Zhi-Hong Sun

Czechoslovak Mathematical Journal (2022)

  • Volume: 72, Issue: 3, page 875-912
  • ISSN: 0011-4642

Abstract

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We systematically investigate the expressions and congruences for both a one-parameter family { G n ( x ) } as well as a two-parameter family { G n ( r , m ) } of sequences.

How to cite

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Sun, Zhi-Hong. "Congruences for certain families of Apéry-like sequences." Czechoslovak Mathematical Journal 72.3 (2022): 875-912. <http://eudml.org/doc/298454>.

@article{Sun2022,
abstract = {We systematically investigate the expressions and congruences for both a one-parameter family $\lbrace G_n(x)\rbrace $ as well as a two-parameter family $\lbrace G_n(r,m)\rbrace $ of sequences.},
author = {Sun, Zhi-Hong},
journal = {Czechoslovak Mathematical Journal},
keywords = {Apéry-like number; congruence; combinatorial identity; Bernoulli polynomial; binary quadratic form},
language = {eng},
number = {3},
pages = {875-912},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Congruences for certain families of Apéry-like sequences},
url = {http://eudml.org/doc/298454},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Sun, Zhi-Hong
TI - Congruences for certain families of Apéry-like sequences
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 3
SP - 875
EP - 912
AB - We systematically investigate the expressions and congruences for both a one-parameter family $\lbrace G_n(x)\rbrace $ as well as a two-parameter family $\lbrace G_n(r,m)\rbrace $ of sequences.
LA - eng
KW - Apéry-like number; congruence; combinatorial identity; Bernoulli polynomial; binary quadratic form
UR - http://eudml.org/doc/298454
ER -

References

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