On supercongruences for truncated sums of squares of basic hypergeometric series

Mohamed El Bachraoui

doi:10.1007/s11139-019-00226-0

On supercongruences for truncated sums of squares of basic hypergeometric series

Mohamed El Bachraoui

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

Congruences of truncated sums of infinite series do not directly extend to congruences of the truncated sums of higher powers of these infinite series. Guo and Zudilin recently established a variety of supercongruences for truncated sums of certain basic hypergeometric series. In this note we extend some of these supercongruences to the truncated sums of the squares of the corresponding series.

Original language	English
Pages (from-to)	415-426
Number of pages	12
Journal	Ramanujan Journal
Volume	54
Issue number	2
DOIs	https://doi.org/10.1007/s11139-019-00226-0
Publication status	Published - Feb 2021

Keywords

Cyclotomic polynomial
Super(congruence)
Truncated sum
q-Analogue

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s11139-019-00226-0

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abstract = "Congruences of truncated sums of infinite series do not directly extend to congruences of the truncated sums of higher powers of these infinite series. Guo and Zudilin recently established a variety of supercongruences for truncated sums of certain basic hypergeometric series. In this note we extend some of these supercongruences to the truncated sums of the squares of the corresponding series.",

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KW - Truncated sum

KW - q-Analogue

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On supercongruences for truncated sums of squares of basic hypergeometric series

Abstract

Keywords

ASJC Scopus subject areas

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