Counting Monogenic Cubic Orders

DOI10.1007/978-3-030-31106-3_2zbMath1473.11197OpenAlexW2995420646MaRDI QIDQ3296081

Shabnam Akhtari

Publication date: 3 July 2020

Published in: Combinatorial and Additive Number Theory III (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-31106-3_2

zbMATH Keywords

cubic number fieldmonogenic ringorder of a number field

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04) Other algebras and orders, and their zeta and (L)-functions (11R54)

Related Items (1)

Quartic index form equations and monogenizations of quartic orders

Cites Work

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• Orders in cubic number fields
• Fourier coefficients of modular forms on \(G_2\).
• Distribution of orders in number fields
• On the number of cubic orders of bounded discriminant having automorphism group \(C_3\), and related problems
• On the representation of unity by binary cubic forms
• Discriminant Equations in Diophantine Number Theory
• A survey on monogenic orders
• REPRESENTATION OF SMALL INTEGERS BY BINARY FORMS
• Cubic Thue Equations
• Computing All Power Integral Bases of Cubic Fields
• On the Number of Solutions of Polynomial Congruences and Thue Equations
• A positive proportion of Thue equations fail the integral Hasse principle
• Representation of unity by binary forms
• Cubic Thue inequalities with positive discriminant

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