What is ... an L-function?

This page hosts information on Miguel Grados's talk "What is ... an L-function?" at the "What is ...?" seminar. The talk will take place on Friday, April 26, 4:00pm at HU, RUD 25 1.023.

Abstract

L-functions are analytical objects containing meaningful information for the underlying context in which they are defined. For example, take the Riemann zeta function; since it can be written in terms of primes, it will encode arithmetical information of $Z$. Also, the proof of the Prime Number Theorem was possible thanks to the nice properties of L-functions.

In this talk we will take a quick tour through different L-functions appearing in mathematics. We will point out some features they have in common, and finally we will arrive to an approach of what an L-function should be (in a broad context).

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Topic revision: r1 - 24 Apr 2013, MimiTsuruga
 
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