1,527 research outputs found
Long arithmetic progressions of primes
This is an article for a general mathematical audience on the author's work,
joint with Terence Tao, establishing that there are arbitrarily long arithmetic
progressions of primes.
It is based on several one hour lectures, chiefly given at British
universities.Comment: 19 pages, submitted to Proceedings of the Gauss-Dirichlet Conference,
Gottingen, June 20-24 200
What is good mathematics?
Some personal thoughts and opinions on what ``good quality mathematics'' is,
and whether one should try to define this term rigorously. As a case study, the
story of Szemer\'edi's theorem is presented.Comment: 12 pages, no figures. To appear, Bull. Amer. Math. So
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