VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.

401-5002-20L DR D-MATH

The Value Distribution of L-Functions and Multiplicative Number Theory (CANCELLED)

Lecturers: Kannan Soundararajan
VVZ CR n/a

Last Updated: 2026-02-05 15:41:22

Abstract

Nachdiplom lecture

Content

The broad theme for the lecture series is the value distribution of zeta and L-​func- tions. This is related to several important questions concerning (i) the maximal size of L-​functions, (ii) asymptotics for moments of L-​values, (iii) the distributi- on of zeros, and non-​vanishing of L-​functions at special points. Further, some of the techniques used in the study of moments have close counterparts in the understanding of other problems in multiplicative number theory --- for instance, the recent results of Harper on random multiplicative functions, and the break- throughs of Matomäki and Radziwiłł on multiplicative functions in short intervals. Much of this work has a strong probabilistic flavor, and in particular we shall dis- cuss connections with random matrix theory, branching Brownian motion, etc.

General Information

Language
English
Levels
DR

Examination

Type
no performance assessment

Course Components

Type Title Time & Place Hours
lecture The Value Distribution of L-Functions and Multiplicative Number Theory (CANCELLED)
No class on 5 March 2020. This Nachdiplom lecture is cancelled as of today (12 March 2020) and for the rest of the semester.
  • Thu 10:15-12:00 (HG G 43)
2 h semesterly

Offered In

  • Doctoral Department of Mathematics (More Information at: The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM. WARNING: Do not mistake ECTS credits for credit points for doctoral studies!)