We give tight upper bounds on the number of degree one places of an algebraic function field over a finite field in terms of the exponent of a natural subgroup of the divisor class group of degree zero.. (C) 2002 Elsevier Science (USA). All rights reserved
2014-07-30We study the computation of the structure of two finite abelian groups associated with fun...
Abstract. We investigate the divisor class group of surfaces over finite fields. For some surfaces t...
AbstractWe present a new bound on the number of Fq-rational places in an algebraic function field. I...
AbstractWe give tight upper bounds on the number of degree one places of an algebraic function field...
International audienceNous donnons des bornes inf\'erieures sur le nombre de diviseurs effectifs de ...
International audienceWe give effective bounds on the class number of any algebraic function field ...
Let K/Fq be an algebraic function field with full constant field Fq and genus g. Then the divisor cl...
AbstractAn algebraic approach to finding an upper bound for the number of places of degree one is pr...
International audienceLet $\mathbf{F}/\mathbb{F}_q$ be an algebraic function field of genus $g$ defi...
Let F=GF(P) be a finite prime field of characteristic P≠2. Let K=F(x, y) be an algebraic Function fi...
Let F=GF(P) be a finite prime field of characteristic P≠2. Let K=F(x, y) be an algebraic Function fi...
AbstractIt is proved, by elementary method, that, for a given odd prime number q and a given natural...
Class groups---and their size, the class number---give information about the arithmetic within a fie...
Let Q be the rational numbers. For an algebraic number field k of finite degree, C(k) and h(k) denot...
AbstractLet F be a finite field with q elements, and T a transcendental element over F. In this pape...
2014-07-30We study the computation of the structure of two finite abelian groups associated with fun...
Abstract. We investigate the divisor class group of surfaces over finite fields. For some surfaces t...
AbstractWe present a new bound on the number of Fq-rational places in an algebraic function field. I...
AbstractWe give tight upper bounds on the number of degree one places of an algebraic function field...
International audienceNous donnons des bornes inf\'erieures sur le nombre de diviseurs effectifs de ...
International audienceWe give effective bounds on the class number of any algebraic function field ...
Let K/Fq be an algebraic function field with full constant field Fq and genus g. Then the divisor cl...
AbstractAn algebraic approach to finding an upper bound for the number of places of degree one is pr...
International audienceLet $\mathbf{F}/\mathbb{F}_q$ be an algebraic function field of genus $g$ defi...
Let F=GF(P) be a finite prime field of characteristic P≠2. Let K=F(x, y) be an algebraic Function fi...
Let F=GF(P) be a finite prime field of characteristic P≠2. Let K=F(x, y) be an algebraic Function fi...
AbstractIt is proved, by elementary method, that, for a given odd prime number q and a given natural...
Class groups---and their size, the class number---give information about the arithmetic within a fie...
Let Q be the rational numbers. For an algebraic number field k of finite degree, C(k) and h(k) denot...
AbstractLet F be a finite field with q elements, and T a transcendental element over F. In this pape...
2014-07-30We study the computation of the structure of two finite abelian groups associated with fun...
Abstract. We investigate the divisor class group of surfaces over finite fields. For some surfaces t...
AbstractWe present a new bound on the number of Fq-rational places in an algebraic function field. I...