Resultants of cyclotomic polynomials

DOI10.1216/RMJ-2012-42-5-1461zbMath1276.11042MaRDI QIDQ5894767

Gregory Dresden

Publication date: 3 December 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1353939090

zbMATH Keywords

linear combinationresultantcyclotomic polynomial

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in real and complex fields: factorization (12D05) Cyclotomic extensions (11R18)

Related Items (14)

General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings ⋮ Williamson type Hadamard matrices with circulant components ⋮ The restricted partition and \(q\)-partial fractions ⋮ Generalized Sierpiński numbers ⋮ Newman cyclotomic polynomials, refinable splines and the Euler binary partition function ⋮ ON THE SECOND-LARGEST SYLOW SUBGROUP OF A FINITE SIMPLE GROUP OF LIE TYPE ⋮ The classification of purely non-symplectic automorphisms of high order on \(K3\) surfaces ⋮ Unique factorization properties in commutative monoid rings with zero divisors ⋮ Monogenic cyclotomic compositions ⋮ CYCLOTOMIC FACTORS OF BORWEIN POLYNOMIALS ⋮ A CLASS OF IRREDUCIBLE POLYNOMIALS ASSOCIATED WITH PRIME DIVISORS OF VALUES OF CYCLOTOMIC POLYNOMIALS ⋮ Unique factorization of ideals in commutative rings with zero divisors ⋮ Chinese remainder theorem for cyclotomic polynomials in \(\mathbb Z[X\)] ⋮ A divisor problem for polynomials

Cites Work

• A chain rule for the resultant of two polynomials
• Über die Ausreduktion ganzzahliger Gruppendarstellungen bei arithmetischer Äquivalenz
• Determinants of Commuting-Block Matrices
• Resultants of Cyclotomic Polynomials
• Unnamed Item
• Unnamed Item

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