Work
Iwaniec is well known for his proficiency in both sieve methods and deep complex-analytic techniques, with a particular emphasis on the theory of automorphic forms and harmonic analysis.
In 1997, Iwaniec and John Friedlander proved that there are infinitely many prime numbers of the form . Results of this strength had previously been seen as completely out of reach: sieve theory—used by Iwaniec and Friedlander in combination with other techniques—cannot usually distinguish between primes and products of two primes, say.
In 2001 Iwaniec was awarded the seventh Ostrowski Prize. The prize citation read, in part, "Iwaniec's work is characterized by depth, profound understanding of the difficulties of a problem, and unsurpassed technique. He has made deep contributions to the field of analytic number theory, mainly in modular forms on GL(2) and sieve methods."
Read more about this topic: Henryk Iwaniec
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