# Past Junior Number Theory Seminar

16 February 2009
16:00
George Walker
Abstract
• Junior Number Theory Seminar
9 February 2009
16:00
Johan Bredberg
Abstract
<p> 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. </p>
• Junior Number Theory Seminar
2 February 2009
16:00
Abstract
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.
• Junior Number Theory Seminar
1 December 2008
16:00
Sebastian Pancratz
Abstract
This talk will give detailed proofs of Szemer\'{e}di's Regularity Lemma for graphs and the deduction of Roth's Theorem. One can derive Szemer\'{e}di's Theorem on arithmetic progressions of length $k$ from a suitable regularity result on $(k-1)$-uniform hypergraphs, and this will be introduced, although not in detail.<br />
• Junior Number Theory Seminar