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A Q-ANALOGUE OF GRANVILLE'S CONGRUENCE.

Authors :
Elkhiri, Laid
Ömür, Neşe
Koparal, Sibel
Source :
Integers: Electronic Journal of Combinatorial Number Theory; 2022, Vol. 22, p1-8, 8p
Publication Year :
2022

Abstract

In this paper, we establish a q-analogue of Granville's congruence as follows: ... for any real number x and odd prime p: Here [n]<subscript>q</subscript> = 1 + q + q² + ... + q<superscript>n-1</superscript> and (x; q)<subscript>n</subscript> = (1-x) (1 - xq)... (1- xq<superscript>n-1</superscript>). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15531732
Volume :
22
Database :
Complementary Index
Journal :
Integers: Electronic Journal of Combinatorial Number Theory
Publication Type :
Academic Journal
Accession number :
161923188