The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying 181 –
200 of
314
Soit une courbe elliptique sur par un modèle de Weierstrass généralisé :Soit avec , un point rationnel sur cette courbe. Pour tout entier , on exprime les coordonnées de sous la forme :où et , , sont déduits par multiplication par des puissances convenables de .Soit un nombre premier impair et supposons que est non singulier et que le rang d’apparition de dans la suite d’entiers est supérieur ou égal à trois. Notons ce rang par et soit . Nous montrons que la suite ...
We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the number of terms in the sum considered is at most ten.
We report on a large-scale project to investigate the ranks of elliptic curves in a quadratic twist family, focussing on the congruent number curve. Our methods to exclude candidate curves include 2-Selmer, 4-Selmer, and 8-Selmer tests, the use of the Guinand-Weil explicit formula, and even 3-descent in a couple of cases. We find that rank 6 quadratic twists are reasonably common (though still quite difficult to find), while rank 7 twists seem much more rare. We also describe our inability to find...
Currently displaying 181 –
200 of
314