Document Type
Lecture
Publication Date
11-18-2009
Abstract
The Riemann Hypothesis is 150 years old. In the fall of 1859, G. F. B. Riemann communicated his now famous paper “Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse" - translated as ”On the number of primes less than a given magnitude" to the Berlin Academy. In this paper, he outlined a potential proof of what is now called the Prime Number Theorem. His idea was to explicitly relate sums over the zeros of a certain meromorphic function (now called the Riemann zeta-function) to sums over the prime numbers. He further conjectured that all the zeros of this function lie on a vertical line. This conjecture is now known as the Riemann Hypothesis and is considered by many to be one of the most important unsolved problems in pure mathematics. In this talk we will describe the Riemann Hypothesis, some of its consequences, and some evidence in its favor.
Relational Format
presentation
Recommended Citation
Milinovich, Micah, "The Riemann Hypothesis…" (2009). Algebra/Number Theory Seminar. 45.
https://egrove.olemiss.edu/math_algebra_number_theory/45
