Lecture

Classical Zero Free Region for Zeta and Explicit Formula I

In course

Minim do nisi mollit duis ex duis ea reprehenderit consequat dolore. Id ullamco ipsum eiusmod eiusmod aliquip laboris ipsum ut aliquip consectetur anim mollit commodo ullamco. Ea velit incididunt excepteur sunt proident occaecat.

Description

This lecture establishes the classical zero free region for the Zeta function and starts the proof of the explicit formula for $\psi(x)$ . The slides cover topics such as Lemmas, the statement of the theorem, and the connection to the Abel-Summation formula. The instructor discusses the convergence of the explicit formula and the significance of residues. The lecture concludes with a detailed explanation of the Perron's formula and the importance of choosing appropriate parameters.

Official source

https://mediaspace.epfl.ch/media/0_yyy5jrcn

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Related lectures (32)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.