July 17, 2018
4:00PM - 5:00PM
Scott Lab N054
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2018-07-17 16:00:00
2018-07-17 17:00:00
What is...? Seminar - Alex Beckwith
Title: What is the Erdős–Kac theorem?
Speaker: Alex Beckwith (Ohio State University)
Abstract: Let $\omega(n)$ denote the number of distinct prime divisors of $n \in \mathbb{N}$. In 1939, Paul Erdos and Mark Kac showed that the value distribution of $\omega(n)$ is normally distributed in a certain sense. This result, known as the Erdos-Kac theorem, was one of the first in what is now called probabilistic number theory. In this talk we will discuss the history of this and related results and provide a sketch of its proof.
Seminar URL: https://math.osu.edu/whatis
Scott Lab N054
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
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Date Range
Add to Calendar
2018-07-17 16:00:00
2018-07-17 17:00:00
What is...? Seminar - Alex Beckwith
Title: What is the Erdős–Kac theorem?
Speaker: Alex Beckwith (Ohio State University)
Abstract: Let $\omega(n)$ denote the number of distinct prime divisors of $n \in \mathbb{N}$. In 1939, Paul Erdos and Mark Kac showed that the value distribution of $\omega(n)$ is normally distributed in a certain sense. This result, known as the Erdos-Kac theorem, was one of the first in what is now called probabilistic number theory. In this talk we will discuss the history of this and related results and provide a sketch of its proof.
Seminar URL: https://math.osu.edu/whatis
Scott Lab N054
Department of Mathematics
math@osu.edu
America/New_York
public
Title: What is the Erdős–Kac theorem?
Speaker: Alex Beckwith (Ohio State University)
Abstract: Let $\omega(n)$ denote the number of distinct prime divisors of $n \in \mathbb{N}$. In 1939, Paul Erdos and Mark Kac showed that the value distribution of $\omega(n)$ is normally distributed in a certain sense. This result, known as the Erdos-Kac theorem, was one of the first in what is now called probabilistic number theory. In this talk we will discuss the history of this and related results and provide a sketch of its proof.
Seminar URL: https://math.osu.edu/whatis