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Limit theorems for twists ofL-functions of elliptic curves

✍ Scribed by V. Garbaliauskienė; A. Laurinčikas; E. Stankus

Publisher
Springer
Year
2010
Tongue
English
Weight
166 KB
Volume
50
Category
Article
ISSN
0363-1672

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Let E/Q be an elliptic curve. For a prime p of good reduction, let E(F p ) be the set of rational points defined over the finite field F p . We denote by ω(#E(F p )), the number of distinct prime divisors of #E(F p ). We prove that the quantity (assuming the GRH if E is non-CM) ω(#E(F p ))log log p