250033 VO Analytic number theory (2010S)
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Details
Language: German
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Thursday
04.03.
15:00 - 17:00
Seminarraum
Monday
08.03.
15:00 - 17:00
Seminarraum
Thursday
11.03.
15:00 - 17:00
Seminarraum
Monday
15.03.
15:00 - 17:00
Seminarraum
Thursday
18.03.
15:00 - 17:00
Seminarraum
Monday
22.03.
15:00 - 17:00
Seminarraum
Thursday
25.03.
15:00 - 17:00
Seminarraum
Monday
12.04.
15:00 - 17:00
Seminarraum
Thursday
15.04.
15:00 - 17:00
Seminarraum
Monday
19.04.
15:00 - 17:00
Seminarraum
Thursday
22.04.
15:00 - 17:00
Seminarraum
Monday
26.04.
15:00 - 17:00
Seminarraum
Thursday
29.04.
15:00 - 17:00
Seminarraum
Monday
03.05.
15:00 - 17:00
Seminarraum
Thursday
06.05.
15:00 - 17:00
Seminarraum
Monday
10.05.
15:00 - 17:00
Seminarraum
Monday
17.05.
15:00 - 17:00
Seminarraum
Thursday
20.05.
15:00 - 17:00
Seminarraum
Thursday
27.05.
15:00 - 17:00
Seminarraum
Monday
31.05.
15:00 - 17:00
Seminarraum
Monday
07.06.
15:00 - 17:00
Seminarraum
Thursday
10.06.
15:00 - 17:00
Seminarraum
Monday
14.06.
15:00 - 17:00
Seminarraum
Thursday
17.06.
15:00 - 17:00
Seminarraum
Monday
21.06.
15:00 - 17:00
Seminarraum
Thursday
24.06.
15:00 - 17:00
Seminarraum
Monday
28.06.
15:00 - 17:00
Seminarraum
Information
Aims, contents and method of the course
Assessment and permitted materials
Written exam or oral exam after the end of the lecture.
Minimum requirements and assessment criteria
familiarity with advanced results and methods of number theory
Examination topics
varying
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).
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
product, theory of the unrestricted partion 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, partition functions and Jacobi product identities.