In this paper we consider the question of whether there exists a hyperelliptic curve of genus g which is defined over but has no rational points over for various pairs . As an example of such a result, we show that if p is a prime such that is also prime then there will be pointless hyperelliptic curves over of every genus
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
In this paper we consider the question of whether there exists a hyperelliptic curve of genus g whic...
An irreducible smooth projective curve over $\mathbb{F}_q$ is called \textit{pointless} if it has no...
This note is devoted to studying a certain hyperelliptic curve of genus two defined over a finite pr...
This note is devoted to studying a certain hyperelliptic curve of genus three defined over a finite ...
We give a new and efficient method of sieving for rational points on hyperelliptic curves. This met...
AbstractWe show that for any finite field Fq, any N⩾0 and all sufficiently large integers g there ex...
We resolve a 1983 question of Serre by constructing curves with many points of every genus over ever...
AbstractThis note contains general remarks concerning finite fields over which a so-called maximal, ...
Abstract. We give an overview over recent results concerning rational points on hyperelliptic curves...
This note is devoted to studying a certain hyperelliptic curve of genus two defined over a finite pr...
In this paper we prove that for any prime p and for any p-power q there is a constant C_p > 0 such t...
Consider the smooth projective models C of curves y [superscript 2] = f(x) with f(x) ∈Z[x] monic and...
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
In this paper we consider the question of whether there exists a hyperelliptic curve of genus g whic...
An irreducible smooth projective curve over $\mathbb{F}_q$ is called \textit{pointless} if it has no...
This note is devoted to studying a certain hyperelliptic curve of genus two defined over a finite pr...
This note is devoted to studying a certain hyperelliptic curve of genus three defined over a finite ...
We give a new and efficient method of sieving for rational points on hyperelliptic curves. This met...
AbstractWe show that for any finite field Fq, any N⩾0 and all sufficiently large integers g there ex...
We resolve a 1983 question of Serre by constructing curves with many points of every genus over ever...
AbstractThis note contains general remarks concerning finite fields over which a so-called maximal, ...
Abstract. We give an overview over recent results concerning rational points on hyperelliptic curves...
This note is devoted to studying a certain hyperelliptic curve of genus two defined over a finite pr...
In this paper we prove that for any prime p and for any p-power q there is a constant C_p > 0 such t...
Consider the smooth projective models C of curves y [superscript 2] = f(x) with f(x) ∈Z[x] monic and...
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
This note contains general remarks concerning finite fields over which a so-called maximal, hyperell...
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