Emmanuel Kowalski
Published 2005-10-10Version 1
We consider some problems of analytic number theory for elliptic curves which can be considered as analogues of classical questions around the distribution of primes in arithmetic progressions to large moduli, and of the question of twin primes. This leads to some local results on the distribution of the group structures of elliptic curves defined over a prime finite field, exhibiting an interesting dichotomy for the occurence of the possible groups. (Note : This paper was initially written in 2000/01, but after a four year wait for a referee report, it is now withdrawn and deposited in the arXiv).
On the distribution of $αp+β$ modulo one for primes of type $p=ar^2+1$
Probabilistic interpretation of the Selberg--Delange Method in analytic number theory
Computational methods and experiments in analytic number theory
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