On certain sum involving quadratic residue

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.

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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.

Item Type: Article
Funders: Sunway University, Malaysia
Uncontrolled Keywords: Sumset; Quadratic residue
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 19 Nov 2023 14:11
Last Modified: 19 Nov 2023 14:11
URI: http://eprints.um.edu.my/id/eprint/41968

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