职员浏览: On certain sum involving quadratic residue

On certain sum involving quadratic residue

Let p be a prime and F-p be the set of integers modulo p. Let chi(p) be a function defined on F-p such that chi(p)(0) = 0 and for a is an element of F-p\textbackslash{0}, set chi(p)(a) = 1 if a is a quadratic residue modulo p and chi(p)(a)= -1 if a is a quadratic non-residue modulo p. Note that chi(...

全面介绍

Saved in:

书目详细资料
Main Authors:	Sim, Kai An, Wong, Kok Bin
格式:	Article
出版:	MDPI 2022
主题:	QA Mathematics
在线阅读:	http://eprints.um.edu.my/41968/
标签:	添加标签没有标签, 成为第一个标记此记录!

id	my.um.eprints.41968
record_format	eprints
spelling	my.um.eprints.419682023-11-19T14:11:40Z http://eprints.um.edu.my/41968/ On certain sum involving quadratic residue Sim, Kai An Wong, Kok Bin QA Mathematics Let p be a prime and F-p be the set of integers modulo p. Let chi(p) be a function defined on F-p such that chi(p)(0) = 0 and for a is an element of F-p\textbackslash{0}, set chi(p)(a) = 1 if a is a quadratic residue modulo p and chi(p)(a)= -1 if a is a quadratic non-residue modulo p. Note that chi(p)(a)=(a/p) is indeed the Legendre symbol. The image of chi(p) in the set of real numbers. In this paper, we consider the following sum Sigma(x is an element of Fp)chi(p)((x-a(1))(x-a(2))...(x-a(t))) where a(1),a(2), ...,a(t) are distinct elements in F-p. MDPI 2022-06 Article PeerReviewed Sim, Kai An and Wong, Kok Bin (2022) On certain sum involving quadratic residue. Mathematics, 10 (12). ISSN 2227-7390, DOI https://doi.org/10.3390/math10121981 <https://doi.org/10.3390/math10121981>. 10.3390/math10121981
institution	Universiti Malaya
building	UM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Malaya
content_source	UM Research Repository
url_provider	http://eprints.um.edu.my/
topic	QA Mathematics
spellingShingle	QA Mathematics Sim, Kai An Wong, Kok Bin On certain sum involving quadratic residue
description	Let p be a prime and F-p be the set of integers modulo p. Let chi(p) be a function defined on F-p such that chi(p)(0) = 0 and for a is an element of F-p\textbackslash{0}, set chi(p)(a) = 1 if a is a quadratic residue modulo p and chi(p)(a)= -1 if a is a quadratic non-residue modulo p. Note that chi(p)(a)=(a/p) is indeed the Legendre symbol. The image of chi(p) in the set of real numbers. In this paper, we consider the following sum Sigma(x is an element of Fp)chi(p)((x-a(1))(x-a(2))...(x-a(t))) where a(1),a(2), ...,a(t) are distinct elements in F-p.
format	Article
author	Sim, Kai An Wong, Kok Bin
author_facet	Sim, Kai An Wong, Kok Bin
author_sort	Sim, Kai An
title	On certain sum involving quadratic residue
title_short	On certain sum involving quadratic residue
title_full	On certain sum involving quadratic residue
title_fullStr	On certain sum involving quadratic residue
title_full_unstemmed	On certain sum involving quadratic residue
title_sort	on certain sum involving quadratic residue
publisher	MDPI
publishDate	2022
url	http://eprints.um.edu.my/41968/
_version_	1783876738078474240
score	13.251813

On certain sum involving quadratic residue

相似书籍