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Complete solution of a family of quartic Thue equations

✍ Scribed by G. Lettl; A. Pethő

Book ID
112951198
Publisher
Vandenhoeck & Ruprecht
Year
1995
Tongue
German
Weight
646 KB
Volume
65
Category
Article
ISSN
0025-5858

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📜 SIMILAR VOLUMES

On a family of relative quartic Thue ine
On a family of relative quartic Thue inequalities
✍ Volker Ziegler 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 210 KB

We consider the relative Thue inequalities where the parameters s and t and the solutions X and Y are integers in the same imaginary quadratic number field and t is sufficiently large with respect to s. Furthermore we study the specialization to s = 1: We find all solutions to these Thue inequalit

On a Family of Quartic Thue Inequalities
On a Family of Quartic Thue Inequalities I
✍ Isao Wakabayashi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 224 KB

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

On a Family of Quartic Thue Inequalities
On a Family of Quartic Thue Inequalities, II
✍ Isao Wakabayashi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 182 KB

We give a method of estimation for rational approximation to algebraic numbers of degree 4 of the form -1+(s+-t)ÂN+-1+(s&-t)ÂN with s, t # Z and large N # N. Our method is based on Pade approximation. As an application, we consider the Thue inequalities |x 4 &a 2 x 2 y 2 &by 4 | k(a, b), where a, b

A parametric family of cubic Thue equati
A parametric family of cubic Thue equations
✍ Alain Togbé 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 258 KB

In this paper, we solve a family of Diophantine equations associated with families of number fields of degree 3. In fact, we find all solutions to the Thue equation