On the practical solution of the Thue equation

N. Tzanakis; B.M.M. Weger, de

doi:10.1016/0022-314X(89)90014-0

On the practical solution of the Thue equation

N. Tzanakis, B.M.M. Weger, de

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

76 Citations (Scopus)

1 Downloads (Pure)

Abstract

This paper gives in detail a practical general method for the explicit determination of all solutions of any Thue equation. It uses a combination of Baker's theory of linear forms in logarithms and recent computational diophantine approximation techniques. An elaborated example is presented.

Original language	English
Pages (from-to)	99-132
Number of pages	34
Journal	Journal of Number Theory
Volume	31
Issue number	2
DOIs	https://doi.org/10.1016/0022-314X(89)90014-0
Publication status	Published - 1989

Access to Document

10.1016/0022-314X(89)90014-0

Cite this

@article{01b652ccce2f42d5867c8101bcf01afa,

title = "On the practical solution of the Thue equation",

abstract = "This paper gives in detail a practical general method for the explicit determination of all solutions of any Thue equation. It uses a combination of Baker's theory of linear forms in logarithms and recent computational diophantine approximation techniques. An elaborated example is presented.",

author = "N. Tzanakis and {Weger, de}, B.M.M.",

year = "1989",

doi = "10.1016/0022-314X(89)90014-0",

language = "English",

volume = "31",

pages = "99--132",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On the practical solution of the Thue equation

AU - Tzanakis, N.

AU - Weger, de, B.M.M.

PY - 1989

Y1 - 1989

N2 - This paper gives in detail a practical general method for the explicit determination of all solutions of any Thue equation. It uses a combination of Baker's theory of linear forms in logarithms and recent computational diophantine approximation techniques. An elaborated example is presented.

AB - This paper gives in detail a practical general method for the explicit determination of all solutions of any Thue equation. It uses a combination of Baker's theory of linear forms in logarithms and recent computational diophantine approximation techniques. An elaborated example is presented.

U2 - 10.1016/0022-314X(89)90014-0

DO - 10.1016/0022-314X(89)90014-0

M3 - Article

SN - 0022-314X

VL - 31

SP - 99

EP - 132

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 2

ER -

On the practical solution of the Thue equation

Abstract

Access to Document

Fingerprint

Cite this