Junior Number Theory Seminar
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Mon, 02/02/2009 16:00 |
Timothy Trudgian (Mathematical Institute Oxford) |
Junior Number Theory Seminar  |
SR1 |
| This second 'problem sheet' of the term includes a proof of Jensen's Theorem for the number of zeroes of an analytic function in a disc, the usefulness of which is highlighted by an application to the Riemann zeta-function. | |||
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Mon, 09/02/2009 16:00 |
Johan Bredberg (Oxford) |
Junior Number Theory Seminar |
SR1 |
| This talk will introduce Dirichlet's Theorem on the approximation of real numbers via rational numbers. Once this has been established, a stronger version of the result will be proved, viz Hurwitz's Theorem. | |||
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Mon, 16/02/2009 16:00 |
George Walker (Oxford) |
Junior Number Theory Seminar |
SR1 |
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Mon, 23/02/2009 16:00 |
Jahan Zahid (Oxford) |
Junior Number Theory Seminar |
SR1 |
Aside from a few tangential problems, this seminar will include a proof of Ostrowski's Theorem. This states than any norm over the rationals is equivalent to either the Euclidean norm or the  -adic norm, for some prime . |
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Mon, 02/03/2009 16:00 |
Sebastian Pancratz (Mathematical Institute, Oxford) |
Junior Number Theory Seminar |
SR1 |
| This talk will mention methods of testing whether a given integer is prime. Included topics are Carmichael numbers, Fermat and Euler pseudo-primes and results contingent on the Generalised Riemann Hypothesis. | |||
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Mon, 09/03/2009 16:00 |
Dr Damiano Testa (The Mathematical Institute, Oxford) |
Junior Number Theory Seminar |
SR1 |
| The goal of this talk is to give sufficient conditions for the existence of points on certain varieties defned over finite fields. | |||
