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On a Family of Quartic Thue Inequalities I

✍ Scribed by Isao Wakabayashi

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 224 KB
Volume: 66
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1997.2161

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✦ Synopsis

For integers a 8, we give upper bounds for the solutions of the Thue inequalities |x 4 &a 2 x 2 y 2 + y 4 | k(a), where k(a) is a function with positive values. The method is based on Pade approximations. 1997 Academic Press ak(a),

where *(a)=2+ 2 log(6 -3 a 2 +24) log(27(a 4 &4)Â128) <4

article no.

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