Subconvexity bounds for L-functions

Authors

Stephan Baier, University of Bristol

Document Type

Lecture

Publication Date

3-24-2010

Abstract

The convexity bound for an L-function is a specific estimate for its growth on the critical line that can be obtained by using its functional equation and the Phragmen-Lindelof principle from complex analysis. It is generally of great interest and often a challenging problem to improve this convexity bound. In this talk, I will give a survey of subconvexity bounds in the t-aspect. Towards the end, I will report about recent work with L. Zhao on subconvexity for GL(3) automorphic L-functions.

Relational Format

presentation

Recommended Citation

Baier, Stephan, "Subconvexity bounds for L-functions" (2010). Algebra/Number Theory Seminar. 44.
https://egrove.olemiss.edu/math_algebra_number_theory/44