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math.NT2001
Spacing of zeros of Hecke L-functions and the class number problem
J. Brian Conrey, Henryk Iwaniec
We derive strong and effective lower bounds for the class number h(q) of the imaginary quadratic field Q(\sqrt{-q}), conditionally subject to the existence of many small (subnormal…
math.NT1998
Asymptotic sieve for primes
John Friedlander, Henryk Iwaniec
This article develops a new sieve method which by adding an additional axiom to the classical formulation breaks the well-known parity problem and allows one to detect primes in th…