On two-parametric quartic families of diophantine problems

Attila Petho; Robert F. Tichy

doi:10.1006/jsco.1998.0205

On two-parametric quartic families of diophantine problems

Attila Petho, Robert F. Tichy

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

Two-parametric quartic Thue equations are completely solved for sufficiently large values of the parameters. Exceptional units are computed in related quartic number fields. The method depends heavily on A. Baker's theory of linear forms in logarithms and symbolic computation in MAPLE.

Original language	English
Pages (from-to)	151-171
Number of pages	21
Journal	Journal of Symbolic Computation
Volume	26
Issue number	2
DOIs	https://doi.org/10.1006/jsco.1998.0205
Publication status	Published - Aug 1998

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics

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title = "On two-parametric quartic families of diophantine problems",

abstract = "Two-parametric quartic Thue equations are completely solved for sufficiently large values of the parameters. Exceptional units are computed in related quartic number fields. The method depends heavily on A. Baker's theory of linear forms in logarithms and symbolic computation in MAPLE.",

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On two-parametric quartic families of diophantine problems

Abstract

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