This course will be an introduction to modern techniques in analytic number theory, with a focus on multiplicative number theory. Possible topics include: sieve theory; topics in the distribution of prime numbers; the Riemann zeta function and its behavior in the critical strip; estimates of multiplicative functions and exponential sums in short intervals.
Target group: PhD students and postdocs
Prerequisites: Knowledge of analysis (including complex analysis) and basic number theory.
Evaluation: Problem sheets
Teaching format: Lectures
ECTS: 3 Year: 2026
Track segment(s):
Elective
Teacher(s):
Vivian Kuperberg
Teaching assistant(s):
- Trainer/in: Vivian Kuperberg