Universität Wien
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250066 SE Seminar (Number Theory) (2005W)

Seminar (Number Theory)

0.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

erstmals am 04.10.2005

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 03.10. 10:00 - 12:00 Seminarraum
  • Monday 10.10. 10:00 - 12:00 Seminarraum
  • Monday 17.10. 10:00 - 12:00 Seminarraum
  • Monday 24.10. 10:00 - 12:00 Seminarraum
  • Monday 31.10. 10:00 - 12:00 Seminarraum
  • Monday 07.11. 10:00 - 12:00 Seminarraum
  • Monday 14.11. 10:00 - 12:00 Seminarraum
  • Monday 21.11. 10:00 - 12:00 Seminarraum
  • Monday 28.11. 10:00 - 12:00 Seminarraum
  • Monday 05.12. 10:00 - 12:00 Seminarraum
  • Monday 12.12. 10:00 - 12:00 Seminarraum
  • Monday 09.01. 10:00 - 12:00 Seminarraum
  • Monday 16.01. 10:00 - 12:00 Seminarraum
  • Monday 23.01. 10:00 - 12:00 Seminarraum
  • Monday 30.01. 10:00 - 12:00 Seminarraum

Information

Aims, contents and method of the course

This class will give an introduction to the theory of normal numbers.
More specifically, we will cover the following topics: connection with the
theory of uniformly distributed sequences, measure-theoretic and topological
properties of the set of all normal numbers, construction of normal numbers
(with an emphasis on the construction of normal numbers with special
properties).
For further information (in German) we refer to
http://www.mat.univie.ac.at/~baxa/ws0506se.html

Assessment and permitted materials

Minimum requirements and assessment criteria

All participants should attain a thorough understanding of the theory
of normal numbers. We hope to cover some questions that are still open
today. The class could be used as a preparation for a Master's thesis
or Ph.D. thesis.

Examination topics

The participants will present the material in individual talks. (Each
participant will be assigned a topic and will be given support preparing
the presentation.) A preliminary schedule of talks will be agreed on in an
introductory meeting on October 4, 2005. The class should be accessible to
everyone who has mastered the curriculum of the first 3-4 terms. Occuring
concepts from measure theory and topology will be reviewed if necessary.
A detailed knowledge of number theory is not a prerequisite.

Reading list

M. Drmota, R.F. Tichy, Sequences, Discrepancies and Applications
E. Hlawka, Theorie der Gleichverteilung
L. Kuipers, H. Niederreiter, Uniform Distribution of Sequences

Association in the course directory

Last modified: Mo 07.09.2020 15:40