Almost prime points on homogeneous varieties
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Thu, 21/10/2010 16:00 |
Dr A Gorodnik (Bristol) |
Number Theory Seminar  |
L3 |
| Given a polynomial function f defined on a variety X, we consider two questions, which are non-commutative analogues of the Prime Number Theorem and the Linnik Theorem: - how often the values of f(x) at integral points in X are almost prime? - can one effectively solve the congruence equation f(x)=b (mod q) with f(x) being almost prime? We discuss a solution to these questions when X is a homogeneous variety (e.g, a quadratic surface). | |||