Add to ORKGA reduction theory is developed for binary forms (homoge-neous polynomials) of degrees three and four with integer coef-ficients. The resulting coefficient bounds simplify and improve on those in the literature, particularly in the case of negative discriminant. Applications include systematic enumeration of cubic number fields, and 2-descent on elliptic curves defined over Q. Remarks are given concerning the extension of these results to forms defined over number fields. This paper has now appeared in the LMS Journal of Computation and Mathematics, Volume 2, pages 62–92, and the full published version, with hyperlinks etc., is available online (to subscribers) a
AbstractHurwitz developed a reduction theory for real binary quadratic forms of positive discriminan...
This paper contains an account of arbitrary cubic function fields of characteristic three. We defin...
AbstractIn this paper we reduce the problem of solving index form equations in quartic number fields...
A reduction theory is developed for binary forms (homogeneous polynomials) of degrees three and four...
In [4], a reduction theory for binary forms of degrees three and four with integer coefficients was ...
Cremona developed a reduction theory for binary forms of degree 3 and 4 with integer coefficients, ...
Cremona developed a reduction theory for binary forms of degree 3 and 4 with integer coefficients, ...
1. Let f (x1, x2, ..., xn) be a homogeneous form with real coefficients in n variables x1, x2, ..., ...
1. Let f (x1, x2, ..., xn) be a homogeneous form with real coefficients in n variables x1, x2, ..., ...
We present a method for tabulating all cubic function fields over Fq(t) whose discriminant D has eit...
We present a method for tabulating all cubic function fields over $\mathbb{F}_{q}(t)$ whose discrimi...
International audienceWe present a method for tabulating all cubic function fields over $\mathbb{F}_...
Since this book was first published in English, there has been important progress in a number of rel...
In this thesis, I show that the representation of prime integers by reduced binary quadratic forms o...
The goal of this thesis is to study possible generalizations of a theorem of Nakagawa, first stated ...
AbstractHurwitz developed a reduction theory for real binary quadratic forms of positive discriminan...
This paper contains an account of arbitrary cubic function fields of characteristic three. We defin...
AbstractIn this paper we reduce the problem of solving index form equations in quartic number fields...
A reduction theory is developed for binary forms (homogeneous polynomials) of degrees three and four...
In [4], a reduction theory for binary forms of degrees three and four with integer coefficients was ...
Cremona developed a reduction theory for binary forms of degree 3 and 4 with integer coefficients, ...
Cremona developed a reduction theory for binary forms of degree 3 and 4 with integer coefficients, ...
1. Let f (x1, x2, ..., xn) be a homogeneous form with real coefficients in n variables x1, x2, ..., ...
1. Let f (x1, x2, ..., xn) be a homogeneous form with real coefficients in n variables x1, x2, ..., ...
We present a method for tabulating all cubic function fields over Fq(t) whose discriminant D has eit...
We present a method for tabulating all cubic function fields over $\mathbb{F}_{q}(t)$ whose discrimi...
International audienceWe present a method for tabulating all cubic function fields over $\mathbb{F}_...
Since this book was first published in English, there has been important progress in a number of rel...
In this thesis, I show that the representation of prime integers by reduced binary quadratic forms o...
The goal of this thesis is to study possible generalizations of a theorem of Nakagawa, first stated ...
AbstractHurwitz developed a reduction theory for real binary quadratic forms of positive discriminan...
This paper contains an account of arbitrary cubic function fields of characteristic three. We defin...
AbstractIn this paper we reduce the problem of solving index form equations in quartic number fields...