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Elliptic Curves with Complex Multiplication and a Character Sum

✍ Scribed by R. Padma; S. Venkataraman

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
336 KB
Volume
61
Category
Article
ISSN
0022-314X

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✦ Synopsis

&163

). We want to calculate the character sum

where ( } Γ‚p) is the Legendre symbol. We show that it is enough to calculate the sum for a finite number of primes and this has been done.

πŸ“œ SIMILAR VOLUMES

Character Sums Linked To Elliptic-Curves
Character Sums Linked To Elliptic-Curves With Complex Multiplication
✍ A. Joux; F. Morain πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 605 KB

Nous évaluons les sommes de caractères liées aux courbes elliptiques à multiplication complexe par l'anneau des entiers d'un corps quadratique imaginaire de discriminant \(-43,-67\) ou -163 , en simplifiant la méthode due à Rajwade et alii. 1995 Academic Press. Inc.

Galois Structure of Rings of Integers an
Galois Structure of Rings of Integers and Elliptic Curves without Complex Multiplication
✍ A. Bayad πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 408 KB

In this paper we state the problem of Galois module structure of rings of integers of extensions attached to the elliptic curves without complex multiplication and admitting a rational point of finite order. Our main aim is to give the first results related to this problem. These results are an anal