Intoduction to Analytic Number Theory

Official course description on the university website

Meeting time and place: Tuesdays, 10:00-12:00, in MV:L23.

Lecture Notes: as of 05.04, corrected 13.04.

Homework Problems:
Sheet 1 Solutions OBS: revised!
Sheet 2 Solutions
Sheet 3 Solutions

Literature:

H. Davenport, Multiplicative Number Theory. Link for download from Springerlink
Classical introduction to the field, contains all the material of the course. Fairly readable.
H. L. Montgomery and R. C. Vaughan, Multiplicative Number Theory. Part I: Classical Theory.
H. Iwaniec and E. Kowalski, Analytic Number Theory.
G. Tenenbaum, Introduction to Analytic and Probabilistic Number Theory.
Three very comprehensive classics, with different focus. Montgomery/Vaughan focusses mostly on the theory of the Riemann zeta function, the prime number theorem and related topics. Iwaniec/Kowalski is more oriented towards sieve methods and modular forms, Tenenbaum provides more analytic context and also includes a part on probabilistic number theory.
T. M. Apostol, Introduction to Analytic Number Theory. Link for download from Springerlink
Easy introduction to the topic
J. Brüdern, Einführung in die analytische Zahlentheorie (in German).
German classic, and the book I personally am most familiar with. Excerpts from me on demand.