On certain determinants involving Legendre symbols

Autor:	Li Yuan Wang, Hai Liang Wu
Rok vydání:	2021
Předmět:	symbols.namesake Pure mathematics Algebra and Number Theory Number theory Fourier analysis Gauss sum Matrix determinant lemma Linear algebra symbols Legendre symbol Legendre polynomials Mathematics
Zdroj:	The Ramanujan Journal. 58:43-56
ISSN:	1572-9303 1382-4090
Popis:	The evaluation of determinants with Legendre symbol entries is a classical topic both in number theory and in linear algebra. Recently Sun posed some conjectures on this topic. In this paper we confirm some of them via Gauss sums and the matrix determinant lemma.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5c7197964207f2c0965049049e98b2b7 https://doi.org/10.1007/s11139-021-00472-1 Zobrazit plný text záznamu Full text from SpringerLink