The \(abc\)-conjecture for algebraic numbers
From MaRDI portal
Publication:2431909
DOI10.1007/s10114-005-0624-3zbMath1100.11034OpenAlexW2133227797WikidataQ123277561 ScholiaQ123277561MaRDI QIDQ2431909
Publication date: 24 October 2006
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-005-0624-3
Higher degree equations; Fermat's equation (11D41) Algebraic numbers; rings of algebraic integers (11R04)
Related Items (5)
Lecture on the abc Conjecture and Some of Its Consequences ⋮ On the abc$abc$ conjecture in algebraic number fields ⋮ Fermat's theorem over some totally real number fields ⋮ On Serre's modularity conjecture and Fermat's equation over quadratic imaginary fields of class number one ⋮ Class field theory, Diophantine analysis and the asymptotic Fermat's last theorem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Die Unmöglichkeit von \(x^ 6 + y^ 6 = z^ 6\) und \(x^ 9 + y^ 9 = z^ 9\) in quadratischen Körpern
- The Fermat equation over quadratic fields
- On equations in S-units and the Thue-Mahler equation
- Diophantine approximations and value distribution theory
- Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
- Algebraic points of low degree on the Fermat curve of degree seven
- On a height related to the \(abc\) conjecture.
- LLL \(\and\) ABC
- On the possibility of \(x^4+y^4=z^4\) in quadratic fields
- \(ABC\) implies no ``Siegel zeros for \(L\)-functions of characters with negative discriminant
- Sur la loi de réciprocité des puissances l-èmes
- Fermat’s Last Theorem for Amateurs
- Points of Low Degree on Smooth Plane Curves
- Algebraic points of low degree on the Fermat quintic
- On a limit point associated with the abc-conjecture
- Some examples related to the $abc$-conjecture for algebraic number fields
- On $abc$ and discriminants
- Points algébriques de petit degré sur les courbes de Fermat
This page was built for publication: The \(abc\)-conjecture for algebraic numbers