Minimal Mahler measure in cubic number fields

DOI10.1142/S179304212250110XWikidataQ114071788 ScholiaQ114071788MaRDI QIDQ5096636

Kathleen L. Petersen, Lydia Eldredge

Publication date: 18 August 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.02582

zbMATH Keywords

Mahler measureWeil heightcubic number fields

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Heights (11G50) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (1)

Minimal Mahler measures for generators of some fields

Cites Work

• Lower bounds for height functions
• Small generators of number fields
• Systoles of arithmetic hyperbolic surfaces and \(3\)-manifolds
• A note on Siegel's lemma over number fields
• Minimal Mahler Measure in Real Quadratic Fields
• The Simplest Cubic Fields
• Bounds for the ℓ-torsion in class groups
• Ricerche aritmetiche sui polinomi
• A note on generators of number fields
• The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments
• Number fields without small generators
• Number fields

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