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math.NT2007★ 5 cited
Average twin prime conjecture for elliptic curves
Antal Balog, Alina Cojocaru, Chantal David
Let E be an elliptic curve over Q. In 1988, Koblitz conjectured a precise asymptotic for the number of primes p up to x such that the order of the group of points of E over the fin…
math.NT2007★ 2 cited
Multiplicative functions in arithmetic progressions
Antal Balog, Andrew Granville, K. Soundararajan
We develop a theory of multiplicative functions (with values inside or on the unit circle) in arithmetic progressions analogous to the well-known theory of primes in arithmetic pro…