AbstractIn this paper, we determine all finite separable imaginary extensions K/Fq(x) whose maximal order is a principal ideal domain in case K/Fq(x) is a non zero genus cyclic extension of prime power degree. There exist exactly 42 such extensions, among which 7 are non isomorphic over Fq
In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...
The determination of the class number of totally real fields of large discriminant is known to be a ...
In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...
AbstractIn this paper, we determine all finite separable imaginary extensions K/Fq(x) whose maximal ...
International audienceWe show that, up to isomorphism, there are only finitely many totally real fun...
International audienceWe show that, up to isomorphism, there are only finitely many totally real fun...
AbstractEmil Artin studied quadratic extensions of k(x) where k is a prime field of odd characterist...
AbstractThe article discusses a criterion for the existence of certain cyclic extensions of prime de...
AbstractIn Bautista-Ancona and Diaz-Vargas (2006) [B-D] a characterization and complete listing is g...
Let p be an odd prime number and let 2e+1 be the highest power of 2 dividing p − 1. For 0 ≤ n ≤ e, l...
AbstractLet q be a power of a prime number p. Let k=Fq(t) be the rational function field with consta...
AbstractThe aim of this note is to generalize the Principal Ideal Theorem to the genus field of an a...
AbstractLet F be a finite field with q elements, and T a transcendental element over F. In this pape...
AbstractFor a prime numberp, let Fpbe the finite field of cardinalitypandX=Xpa fixed indeterminate. ...
AbstractFor a prime numberp, let Fpbe the finite field of cardinalitypandX=Xpa fixed indeterminate. ...
In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...
The determination of the class number of totally real fields of large discriminant is known to be a ...
In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...
AbstractIn this paper, we determine all finite separable imaginary extensions K/Fq(x) whose maximal ...
International audienceWe show that, up to isomorphism, there are only finitely many totally real fun...
International audienceWe show that, up to isomorphism, there are only finitely many totally real fun...
AbstractEmil Artin studied quadratic extensions of k(x) where k is a prime field of odd characterist...
AbstractThe article discusses a criterion for the existence of certain cyclic extensions of prime de...
AbstractIn Bautista-Ancona and Diaz-Vargas (2006) [B-D] a characterization and complete listing is g...
Let p be an odd prime number and let 2e+1 be the highest power of 2 dividing p − 1. For 0 ≤ n ≤ e, l...
AbstractLet q be a power of a prime number p. Let k=Fq(t) be the rational function field with consta...
AbstractThe aim of this note is to generalize the Principal Ideal Theorem to the genus field of an a...
AbstractLet F be a finite field with q elements, and T a transcendental element over F. In this pape...
AbstractFor a prime numberp, let Fpbe the finite field of cardinalitypandX=Xpa fixed indeterminate. ...
AbstractFor a prime numberp, let Fpbe the finite field of cardinalitypandX=Xpa fixed indeterminate. ...
In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...
The determination of the class number of totally real fields of large discriminant is known to be a ...
In this paper, it is proved that one can find imaginary quadratic fields with class number not divis...
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