N-TUPLE SUM ANALOGUES FOR RAMANUJAN-TYPE CONGRUENCES

Mohamed El Bachraoui

doi:10.1090/proc/16061

N-TUPLE SUM ANALOGUES FOR RAMANUJAN-TYPE CONGRUENCES

Mohamed El Bachraoui

Department of Mathematical Sciences

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

3 Citations (Scopus)

Abstract

In this paper we prove supercongruence relations for truncated N-tuple sums of basic hypergeometric series. As an application, we give double, triple, and quadruple sum analogues of some Ramanujan-type supercongruences.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Proceedings of the American Mathematical Society
Volume	151
Issue number	1
DOIs	https://doi.org/10.1090/proc/16061
Publication status	Published - Jan 1 2023

Keywords

cyclotomic polynomial
q-analogue
super(congruence)
truncated sum

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/16061

Cite this

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title = "N-TUPLE SUM ANALOGUES FOR RAMANUJAN-TYPE CONGRUENCES",

abstract = "In this paper we prove supercongruence relations for truncated N-tuple sums of basic hypergeometric series. As an application, we give double, triple, and quadruple sum analogues of some Ramanujan-type supercongruences.",

keywords = "cyclotomic polynomial, q-analogue, super(congruence), truncated sum",

author = "\{El Bachraoui\}, Mohamed",

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year = "2023",

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N2 - In this paper we prove supercongruence relations for truncated N-tuple sums of basic hypergeometric series. As an application, we give double, triple, and quadruple sum analogues of some Ramanujan-type supercongruences.

AB - In this paper we prove supercongruence relations for truncated N-tuple sums of basic hypergeometric series. As an application, we give double, triple, and quadruple sum analogues of some Ramanujan-type supercongruences.

KW - cyclotomic polynomial

KW - q-analogue

KW - super(congruence)

KW - truncated sum

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N-TUPLE SUM ANALOGUES FOR RAMANUJAN-TYPE CONGRUENCES

Abstract

Keywords

ASJC Scopus subject areas

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