On R. Chapman's ``evil determinant: case p≡1±od4

DOI10.4064/aa159-4-3zbMath1357.11036arXiv1108.4031OpenAlexW2963631882MaRDI QIDQ2839287

Maxim Vsemirnov

Publication date: 4 July 2013

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4031

zbMATH Keywords

determinantLegendre symbolDirichlet's class number formulaCauchy determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Class numbers, class groups, discriminants (11R29) Matrices, determinants in number theory (11C20) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (15)

Proof of three conjectures on determinants related to quadratic residues ⋮ On certain determinants involving Legendre symbols ⋮ Finite simple groups of low rank: Hurwitz generation and (2,3)-generation ⋮ Cyclotomic matrices and hypergeometric functions over finite fields ⋮ Legendre symbols related to certain determinants ⋮ On some Toeplitz-type matrices over finite fields ⋮ A variant of some cyclotomic matrices involving trinomial coefficients ⋮ On certain cyclotomic matrices involving biquadratic residues ⋮ On some determinants with Legendre symbol entries ⋮ Determinants concerning Legendre symbols ⋮ Elliptic curves over \(\mathbb{F}_p\) and determinants of Legendre matrices ⋮ On some determinants involving Jacobi symbols ⋮ Generating sets of involutions of finite simple groups ⋮ A conjecture of Zhi-Wei Sun on determinants over finite fields ⋮ APPLICATIONS OF CIRCULANT MATRICES TO DETERMINANTS INVOLVING TH POWER RESIDUES

Uses Software

• OEIS

This page was built for publication: On R. Chapman's ``evil determinant: case p≡1±od4