An analogue of the Siegel-Walfisz theorem for the cyclicity of CM elliptic curves mod p

Amir Akbary () and V. Kumar Murty ()
Additional contact information
Amir Akbary: University of Lethbridge
V. Kumar Murty: University of Toronto

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 1, 25-37

Abstract: Abstract Let E be a CM elliptic curve defined over ℚ and of conductor N. We establish an asymptotic formula, uniform in N and with improved error term, for the counting function of primes p for which the reduction mod p of E is cyclic. Our result resembles the classical Siegel-Walfisz theorem regarding the distribution of primes in arithmetic progressions.

Keywords: Reduction mod p of elliptic curves; cyclicity of CM elliptic curves mod p; Siegel-Walfisz Theorem (search for similar items in EconPapers)
Date: 2010
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-010-0002-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:41:y:2010:i:1:d:10.1007_s13226-010-0002-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-010-0002-4

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().