Universität Wien

250059 VO Diophantine Approximation (2025S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik
We 25.06. 15:00-16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock

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Details

Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 05.03. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 19.03. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 26.03. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 02.04. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.04. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 30.04. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 07.05. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 14.05. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 21.05. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 28.05. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 04.06. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.06. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 18.06. 15:00 - 16:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The course deals with: one dimensional approximation ( continued fractions, Theorems of Dirichlet, Kronecker, Liouville and Roth's Theorem), simultaneous approximation (Geometry of Numbers, 1. and 2. Theorem of Minkowski, Minkowski's Theorem on linear forms, Khintchine's Transference principle), Equidistribution

Assessment and permitted materials

Oral exam at the end of the lecture

Minimum requirements and assessment criteria

Examination topics

Contents of the whole lecture

Reading list

W.M. Schmidt: Diophantine Approximation and Diophantine Equations
Gruber, Lekkerkerker: Geometrie der Zahlen
Hlawka, Schoissengeier: Geometrische und analytische Zahlentheorie
JWS Cassels: An introduction to the Geometry of Numbers

Association in the course directory

MALV

Last modified: Mo 10.02.2025 10:46