Student Math & Applications Seminar - Andrew Salch
This event is in the past.
Detroit, MI 48202
Speaker: Andrew Salch, Associate Professor, WSU Mathematics Department
Title: The Riemann Hypothesis
Abstract: The most famous open problem in mathematics is the Riemann hypothesis, first posed by Riemann in 1859. Despite being studied heavily for 160 years, it remains unsolved.
The statement of the Riemann hypothesis is: “Every zero of the Riemann zeta-function in the critical strip has real part equal to ½.” In this talk, I will explain that means, and why it matters. In particular, I’ll explain what the Riemann zeta-function is, and how Euler used it to count the probability of two randomly-chosen integers being relatively prime; and I’ll explain what the critical strip is, and how Chebyshev and von Mangoldt showed that the location of the zeroes of the Riemann-zeta function in the critical strip “controls” how sparsely the prime numbers are distributed throughout the integers.
This talk should be understandable to a student who has taken Calculus II, and who knows what a complex number is, and what a prime number is.