Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields
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Publication:2940656
DOI10.1007/s10587-014-0113-xzbMath1340.11102arXiv1810.00060OpenAlexW3099356444MaRDI QIDQ2940656
Publication date: 27 January 2015
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.00060
Computer solution of Diophantine equations (11Y50) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04) Multiplicative and norm form equations (11D57)
Related Items (3)
Integral bases and monogenity of the simplest sextic fields ⋮ Monogenity in totally real extensions of imaginary quadratic fields with an application to simplest quartic fields ⋮ Index, the prime ideal factorization in simplest quartic fields and counting their discriminants
Uses Software
Cites Work
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- Power Integral Bases in the Family of Simplest Quartic Fields
- On the class number and unit index of simplest quartic fields
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