Calculating “Small” Solutions of Relative Thue Equations
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Publication:5264647
DOI10.1080/10586458.2014.967894zbMath1390.11067arXiv1810.00064OpenAlexW3101497518MaRDI QIDQ5264647
Publication date: 27 July 2015
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.00064
Thue-Mahler equations (11D59) Computer solution of Diophantine equations (11Y50) Software, source code, etc. for problems pertaining to number theory (11-04)
Related Items (5)
ON THE MONOGENITY OF CERTAIN BINOMIAL COMPOSITIONS ⋮ AN EXPERIMENT ON THE MONOGENITY OF A FAMILY OF TRINOMIALS ⋮ ON THE MONOGENITY OF TOTALLY COMPLEX PURE SEXTIC FIELDS ⋮ Calculating power integral bases by using relative power integral bases ⋮ Calculating ``small solutions of inhomogeneous relative Thue inequalities
Cites Work
- On the resolution of Thue inequalities
- On the resolution of index form equations in sextic fields with an imaginary quadratic subfield
- Factoring polynomials with rational coefficients
- Solving index form equations in fields of degree 9 with cubic subfields
- Simultaneous representation of integers by a pair of ternary quadratic forms -- with an application to index form equations in quartic number fields
- On the resolution of relative Thue equations
- Computing all power integral bases in orders of totally real cyclic sextic number fields
- Enumeration of Totally Real Number Fields of Bounded Root Discriminant
- Computing power integral bases in quartic relative extensions
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