AbstractFor a prime numberp, let Fpbe the finite field of cardinalitypandX=Xpa fixed indeterminate. We prove that for any natural numberN, there exist infinitely many pairs (p,K/Fp(X)) of a prime numberpand a “real” quadratic extensionK/Fp(X) for which the genus ofKis one and the class number of the integral closure of Fp[X] inKisN
The class number problem is one of the central open problems of algebraic number theory. It has long...
In this paper we prove that there are exactly eight function fields, up to isomorphism, over finite ...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
AbstractFor a prime numberp, let Fpbe the finite field of cardinalitypandX=Xpa fixed indeterminate. ...
AbstractIt is shown that there exist infinitely many quadratic extensions of fields of rational func...
AbstractEmil Artin studied quadratic extensions of k(x) where k is a prime field of odd characterist...
AbstractWe point out that the results of Adleman and Huang ("Primality Testing and Abelian Varieties...
AbstractWe point out that the results of Adleman and Huang ("Primality Testing and Abelian Varieties...
AbstractLet F be the function field with constant field Fq, and let EF be the multiple Kummer extens...
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
AbstractEmil Artin studied quadratic extensions of k(x) where k is a prime field of odd characterist...
AbstractIn this paper, we determine all finite separable imaginary extensions K/Fq(x) whose maximal ...
AbstractIt is shown that there exist infinitely many quadratic extensions of fields of rational func...
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
The class number problem is one of the central open problems of algebraic number theory. It has long...
The class number problem is one of the central open problems of algebraic number theory. It has long...
In this paper we prove that there are exactly eight function fields, up to isomorphism, over finite ...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
AbstractFor a prime numberp, let Fpbe the finite field of cardinalitypandX=Xpa fixed indeterminate. ...
AbstractIt is shown that there exist infinitely many quadratic extensions of fields of rational func...
AbstractEmil Artin studied quadratic extensions of k(x) where k is a prime field of odd characterist...
AbstractWe point out that the results of Adleman and Huang ("Primality Testing and Abelian Varieties...
AbstractWe point out that the results of Adleman and Huang ("Primality Testing and Abelian Varieties...
AbstractLet F be the function field with constant field Fq, and let EF be the multiple Kummer extens...
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
AbstractEmil Artin studied quadratic extensions of k(x) where k is a prime field of odd characterist...
AbstractIn this paper, we determine all finite separable imaginary extensions K/Fq(x) whose maximal ...
AbstractIt is shown that there exist infinitely many quadratic extensions of fields of rational func...
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
The class number problem is one of the central open problems of algebraic number theory. It has long...
The class number problem is one of the central open problems of algebraic number theory. It has long...
In this paper we prove that there are exactly eight function fields, up to isomorphism, over finite ...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
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