||Note: This is a talk for a general audience and for students.
Abstract: Paul Erdoes (1913-1996) was one of the most influential
mathematicians of the twentieth century. 2013 was his 100-th birthday
year. A Hungarian by birth, Erdoes had no permanent home. He
traveled around the world constantly, lecturing at hundreds of
universities, and seldom staying at a place for more than a week.
On these trips he collaborated with both mathematicians and students.
He was an annual visitor to the University of Florida
in the Spring from the mid-seventies
until 1996 and collaborated with several of our mathematics faculty.
Of his research papers that exceed 1500 in number, more than half
are in collaboration. While traveling, he was constantly on the look
out for very young and talented mathematicians with whom he would
collaborate and mold their careers. In a remarkable career that spanned
the entire twentieth century, Erdoes made pioneering contributions to
number theory, combinatorics, graph theory, set theory and geometry.
After describing his unusual life and some of his charming idiosyncracies,
we will discuss some of his most fundamental contributions and ideas in
prime number theory and probabilistic number theory. Both the story of
the elementary proof of the prime number theorem and the creation of
probabilistic number theory are fascinating, and will be described.
Finally, I will also briefly describe how I met him, and how we
Note by P. Paule: Professor Alladi is a leading expert in number theory,
combinatorics, partitions, and q-series identities. He is founder and
editor-in-chief of the highly successful Ramanujan Journal.