A generalization of simplest number fields and their integral basis
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Publication:2036574
DOI10.1007/s10474-020-01093-8zbMath1474.11075arXiv2111.08341OpenAlexW3108437108MaRDI QIDQ2036574
Publication date: 29 June 2021
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.08341
Galois theory (11R32) Other number fields (11R21) Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)
Cites Work
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- HT90 and ``simplest number fields
- On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields
- Verification of a conjecture of E. Thomas
- On the simplest sextic fields and related Thue equations
- Integral bases and monogenity of pure fields
- Complete solutions to a family of cubic Diophantine equations
- Arithmetic progression sums of binomial coefficients
- Complete solution of a family of quartic Thue equations
- Complete solutions to a family of Thue equations of degree 12
- All solutions to Thomas' family of Thue equations over imaginary quadratic number fields
- Fundamental units in a family of cubic fields
- On the Simplest Quartic Fields and Related Thue Equations
- A Device for Generating Fields of Even Class Number
- The Simplest Cubic Fields
- Simple families of Thue inequalities
- Integral bases and monogenity of the simplest sextic fields
- Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields
- Integral bases of pure fields with square-free parameter
- Diophantine Equations and Power Integral Bases
- On the class number and unit index of simplest quartic fields
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