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ANTS
2006
Springer
79views Algorithms» more  ANTS 2006»
14 years 5 days ago
Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q
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 ...
John Cremona, Samir Siksek
ANTS
2010
Springer
248views Algorithms» more  ANTS 2010»
13 years 11 months ago
Huff's Model for Elliptic Curves
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...
Marc Joye, Mehdi Tibouchi, Damien Vergnaud
ANTS
2008
Springer
57views Algorithms» more  ANTS 2008»
13 years 10 months ago
Functorial Properties of Stark Units in Multiquadratic Extensions
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...
Jonathan W. Sands, Brett A. Tangedal
ANTS
2006
Springer
75views Algorithms» more  ANTS 2006»
13 years 10 months ago
Symmetric Powers of Elliptic Curve L-Functions
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...
Phil Martin, Mark Watkins
AE
2005
Springer
14 years 2 months ago
An Exponential Representation in the API Algorithm for Hidden Markov Models Training
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...
Sebastien Aupetit, Nicolas Monmarché, Moham...