Simplifying method for algebraic approximation of certain algebraic numbers
From MaRDI portal
Publication:1929775
DOI10.1134/S0001434612090118zbMath1319.11046OpenAlexW1978113818MaRDI QIDQ1929775
Jingbo Xia, Silan Zhang, Jian-Hua Chen
Publication date: 9 January 2013
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434612090118
Thue-Mahler equations (11D59) Cubic and quartic Diophantine equations (11D25) Approximation to algebraic numbers (11J68)
Cites Work
- Complete solution of the diophantine equation \(X^ 2+1=dY^ 4\) and a related family of quartic Thue equations
- Simplifying the solution of Ljunggren's equation \(x^ 2+1=2y^ 4\)
- On the method of Thue-Siegel
- A new solution of the diophantine equation \(X^ 2+1=2Y^ 4\)
- A note on the diophantine equation \(x^ 2+1=dy^ 4\)
- On algebraic approximations of certain algebraic numbers.
- On the Thue-Siegel-Dyson theorem
- Solving a family of Thue equations with an application to the equation x2-Dy4=1
- Simple families of Thue inequalities
- On the Diophantine equation |𝑎𝑥ⁿ-𝑏𝑦ⁿ|=1
- Rational Approximations to Certain Algebraic Numbers
- A GENERALIZATION OF A THEOREM OF BUMBY ON QUARTIC DIOPHANTINE EQUATIONS
- On the family of Thue equation|x 3+mx2y−(m+3)xy2+y3|=k
- RATIONAL APPROXIMATIONS TO 23 AND OTHER ALGEBRAIC NUMBERS
- Unnamed Item
- Unnamed Item
This page was built for publication: Simplifying method for algebraic approximation of certain algebraic numbers
