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New Erdös-Kac type theorems

✍ Scribed by Filip Saidak


Book ID
105755348
Publisher
Springer
Year
2005
Tongue
English
Weight
145 KB
Volume
85
Category
Article
ISSN
0003-889X

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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