In this paper, we will derive formulas for calculating AF when F is a quartic form. The formulas which we give will involve a particular hypergeometric function.

The practical computation of areas associated with binary quartic forms. Author: Michael A. Bean. Michael A. Bean. View Profile. Authors Info & Claims.

We derive formulas for practically computing the area of the region jF (x;y) j1 dened by a binary quartic form F (X;Y ) 2 R(X;Y ).

[1] M. A. Bean, “The practical computation of areas associated with binary quartic forms”,. Math. Comput. 66 (1997), no. 219, ...

In this paper we determine the group of rational automorphisms of binary cubic and quartic forms with integer coefficients and non-zero discriminant in terms of ...

... binary cubic and quartic forms and this paper of Bean: The practical computation of areas associated with binary quartic forms. Specifically, I am ...

Jan 23, 2018 · In this paper we determine the group of rational automorphisms of binary cubic and quartic forms with integer coefficients and non-zero ...

We use these counting results to prove that the average rank of elliptic curves over Q, when ordered by their heights, is bounded. In particular,.

The practical computation of areas associated with binary quartic forms · M. Bean. Mathematics. Math. Comput. 1997. TLDR. These formulas, which involve a ...

In this article we compute the automorphism group Aut F for four families of binary forms. The first two families that we are interested in are homogenizations ...