YoVDO

Euler Product Formula - A Beautiful Equation in Number Theory

Offered By: Dr Trefor Bazett via YouTube

Tags

Number Theory Courses Riemann Hypothesis Courses Riemann Zeta Function Courses Analytic Number Theory Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Dive into a fascinating 17-minute video exploring the Euler Product Formula, a groundbreaking mathematical equation proven by Euler in 1737. Learn how this formula connects a sum over natural numbers with a product over all prime numbers. Follow along as the proof is demonstrated using the Sieve of Eratosthenes, discover how the Basel problem emerges from this formula, and explore its extension beyond proving the infinity of prime numbers to the sum of reciprocal primes. Gain insights into the Riemann-Zeta function and its connection to the Riemann Hypothesis, one of the million-dollar Millennium Problems. Enhance your understanding of analytic number theory and appreciate the beauty of mathematical equations through this engaging and informative presentation.

Syllabus

Euler Product Formula
Proof of the Formula
s=1 and Reciprocal Primes
Reimann-zeta function and Riemann Hypothesis
Brilliant.org/TreforBazett


Taught by

Dr. Trefor Bazett

Related Courses

On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms
ICTP Mathematics via YouTube
Jonathan Hickman- On Littlewood-Paley Theory for Space Curves
Hausdorff Center for Mathematics via YouTube
Relative Trace Formulas for GL - 2 - and Analytic Number Theory
Hausdorff Center for Mathematics via YouTube
New Avenues for the Circle Method - Lecture I
Hausdorff Center for Mathematics via YouTube
Terence Tao - Pseudorandomness of the Liouville Function
Hausdorff Center for Mathematics via YouTube