AbstractLet m, n be distinct square-free rational integers and let K=Q(√m, √n). Combining Baker-type inequalities with a suitable version of the Baker-Davenport reduction method we give a computational algorithm for determining all elements with minimal index in such number fields
AbstractWe describe an efficient algorithm for solving index form equations in number fields of degr...
Determining whether a number field admits a power integral basis is a classical problem in algebraic...
Determining whether a number field admits a power integral basis is a classical problem in algebraic...
AbstractLet m, n be distinct square-free rational integers and let K=Q(√m, √n). Combining Baker-type...
AbstractCombining Baker's effective method with the reduction procedure of Baker and Davenport, we g...
AbstractCombining Baker's effective method with the reduction procedure of Baker and Davenport, we g...
In this paper we find a minimal index and determine all integral elements with the minimal index in ...
AbstractIn this paper we develop a method for computing all small solutions (i.e. with coordinates o...
In this paper we find a minimal index and determine all integral elements with the minimal index in ...
AbstractIn this paper we reduce the problem of solving index form equations in quartic number fields...
The index of an integral element $\alpha$ in a number field $K$ with discriminant $D_K$ is the index...
We provide a comprehensive description of biquadratic function fields and their properties, includi...
ZusammenfassungLet K be an algebraic number field with non-zero α, β∈K. Siegel showed in 1929 that t...
We provide a comprehensive description of biquadratic function fields and their properties, includi...
This thesis focuses on additively indecomposable integers in totally real number fields and their ap...
AbstractWe describe an efficient algorithm for solving index form equations in number fields of degr...
Determining whether a number field admits a power integral basis is a classical problem in algebraic...
Determining whether a number field admits a power integral basis is a classical problem in algebraic...
AbstractLet m, n be distinct square-free rational integers and let K=Q(√m, √n). Combining Baker-type...
AbstractCombining Baker's effective method with the reduction procedure of Baker and Davenport, we g...
AbstractCombining Baker's effective method with the reduction procedure of Baker and Davenport, we g...
In this paper we find a minimal index and determine all integral elements with the minimal index in ...
AbstractIn this paper we develop a method for computing all small solutions (i.e. with coordinates o...
In this paper we find a minimal index and determine all integral elements with the minimal index in ...
AbstractIn this paper we reduce the problem of solving index form equations in quartic number fields...
The index of an integral element $\alpha$ in a number field $K$ with discriminant $D_K$ is the index...
We provide a comprehensive description of biquadratic function fields and their properties, includi...
ZusammenfassungLet K be an algebraic number field with non-zero α, β∈K. Siegel showed in 1929 that t...
We provide a comprehensive description of biquadratic function fields and their properties, includi...
This thesis focuses on additively indecomposable integers in totally real number fields and their ap...
AbstractWe describe an efficient algorithm for solving index form equations in number fields of degr...
Determining whether a number field admits a power integral basis is a classical problem in algebraic...
Determining whether a number field admits a power integral basis is a classical problem in algebraic...
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