A Famous Infinite Series (the value of Riemann Zeta function at s=2)
Sedanur Albayrak
Abstract: Jacques Bernoulli was a mathematician who discovered the sum of several infinite series. However, he did not succeed in finding the sum of the reciprocals of the squares. This famous infinite series problem ,also known as Basel problem, is first posed in 1644 by Pietro Mengoli , solved in 1735 by Leonhard Euler. Although there are other approaches in proving this formula, in this talk, I will concentrate on Euler's approach. I will try to demonstrate how Euler used the method of discovery by analogy. After that, I will give you a rigorous mathematical proof of how the sum of the reciprocals of the squares happens to be equal to π^{2} over 6. No prior advanced knowledge is required to understand neither one of the proofs.
Date: Friday, April 11, 2014
Time: 12:00
Place: KPARK1
