Let E be an elliptic curve over the rationals. A crucial step in determining a Mordell-Weil basis for E is to exhibit some positive lower bound > 0 for the canonical height ^h ...
Abstract. This paper revisits a model for elliptic curves over Q introduced by Huff in 1948 to study a diophantine problem. Huff's model readily extends over fields of odd cha...
Abstract. The goal of this paper is to present computations investigating the "functorial" properties of Stark units, that is, how specific roots of Stark units from cert...
Abstract. The conjectures of Deligne, Beilinson, and Bloch-Kato assert that there should be relations between the arithmetic of algebrogeometric objects and the special values of t...
In this paper, we show how an efficient ant based algorithm, called API and initially designed to perform real parameter optimization, can be adapted to the difficult problem of Hi...