On the Arithmetic of Generalized Fekete Polynomials

DOI10.1080/10586458.2023.2293283MaRDI QIDQ6657563

Ján Mináč, Duy Tân Nguyễn, Tung T. Nguyen

Publication date: 6 January 2025

Published in: Experimental Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09)

Cites Work

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• Lineare Abhängigkeiten von Einheitswurzeln. (Linear dependence of roots of unity.)
• Probabilistic Galois theory of reciprocal polynomials
• Classical theorems on quadratic residues
• Zeros of Fekete polynomials
• Fekete polynomials, quadratic residues, and arithmetic
• Coefficients and higher order derivatives of cyclotomic polynomials: old and new (with an appendix by Pedro García-Sánchez)
• Irreducibility Criteria for Polynomials with non-negative Coefficients
• On an Irreducibility Theorem of A. Cohn
• Prime Numbers and Irreducible Polynomials
• Irreducibility Criteria for Reciprocal Polynomials and Applications
• A "Popular" Class Number Formula
• Quadratic Number Fields
• Lectures on P-Adic L-Functions. (AM-74)

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