Number Theory Seminar
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Thu, 11/10/2007 16:00 |
Michael Rubinstein (Waterloo) |
Number Theory Seminar  |
L3 |
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Thu, 18/10/2007 16:00 |
Gergely Harcos (Budapest) |
Number Theory Seminar |
L3 |
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Thu, 01/11/2007 15:00 |
Peter Swinnerton-Dyer (Cambridge) |
Number Theory Seminar |
L3 |
| Let N(A) be the number of integer solutions of x^2 + y^2 < A where A is large. The circle problem is to find as small an exponent alpha as possible for which N(A) = pi A + O(A^(alpha + epsilon)). Arguments simple enough to appear in textbooks give alpha = 1/3, and the best published result (due to Huxley) is alpha = 23/73. On the other hand, it has long been known that nothing better than alpha = 1/4 can be true. In this seminar I shall show that in fact alpha = 1/4. | |||
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Thu, 08/11/2007 15:00 |
Sanju Velani (York) |
Number Theory Seminar |
L3 |
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Thu, 15/11/2007 15:00 |
Tim Browning (Bristol) |
Number Theory Seminar |
L3 |
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Thu, 22/11/2007 15:00 |
Nina Snaith (Bristol) |
Number Theory Seminar |
L3 |
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Thu, 29/11/2007 15:00 |
Henri Johnston (Oxford) |
Number Theory Seminar |
L3 |
