Universität Wien
Warning! The directory is not yet complete and will be amended until the beginning of the term.

250046 VO Analytic number theory (2016S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 02.03. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 03.03. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.03. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 10.03. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 16.03. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 17.03. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 06.04. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 07.04. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 13.04. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 14.04. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 20.04. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 21.04. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 27.04. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 28.04. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 04.05. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.05. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 12.05. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 18.05. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 19.05. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 25.05. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 01.06. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 02.06. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 08.06. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 09.06. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 15.06. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 16.06. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 22.06. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 23.06. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 29.06. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 30.06. 14:30 - 15:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The lecture should provide an introduction to classical analytic number theory. Among the topics covered
are Arithmetical functions, Dirichlet product, theory of the unrestricted partition function,
elementary theorems on the distribution of prime numbers,
Dirichlet's Theorem on primes in arithmetic progressions, Dirichlet
characters, Ramanujan sums, Gauss sums, Zetafunctions and L-series,
The Kummer conjecture on Gauss sums, sums of squares and Thetafunctions,
The Waring problems, and Jacobi product identities.

Assessment and permitted materials

Written exam or oral exam after the end of the lecture.

Minimum requirements and assessment criteria

Examination topics

See homepage.

Reading list

1. Apostol, Tom M.
Introduction to analytic number theory. (English)
Undergraduate Texts in Mathematics. New York-Heidelberg-Berlin:
Springer-Verlag. XII, 338 p. (1976).

2. Brüdern, Jörg
Einführung in die analytische Zahlentheorie. (Introduction to analytic
number theory). (German) Berlin: Springer-Verlag. x, 238 p. (1995).

3. Tenenbaum, Gérald
Introduction to analytic and probabilistic number theory.
Transl. from the 2nd French ed. by C.B.Thomas. (English)
Cambridge Studies in Advanced Mathematics. 46. Cambridge: Cambridge Univ.
Press. xiv, 448 p. (1995).

4. Newman, Donald J.
Analytic number theory. (English)
Graduate Texts in Mathematics. 177. New York, NY: Springer. viii,
76 p. (1998).

5. Chandrasekharan, K.
Introduction to analytic number theory (English)
Berlin-Heidelberg-New York: Springer-Verlag 1968. VIII, 140 p.
with 4 Fig. (1968).

Association in the course directory

MALV

Last modified: Mo 07.09.2020 15:40