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How do we write whole numbers? The answer to the title is 2 x 10^3 + 0 x 10^2 + 2 x 10^1 + 3 x 10^0. What are some other ways of writing integers? We will look at base 2 and base 3 and base 10. We will consider what happens when we allow non-standard sets of digits, in which case we might want to count the number of ways that a given integer can be represented. The Fibonacci numbers will show up, along with guest appearances by some of your favorite mathematicians.
Bruce Reznick is an American mathematician long on the faculty at the University of Illinois at Urbana–Champaign. He is a prolific researcher noted for his contributions to number theory and the combinatorial-algebraic-analytic investigations of polynomials. In July 2019, to mark his 66th birthday, a day long symposium "Bruce Reznick 66 fest: A mensch of Combinatorial-Algebraic Mathematics" was held at the University of Bern, Switzerland.
Watch the livestream on YouTube.
The Perry Lecture Series is made possible by the generous support of William Perry, former President of Eastern Illinois University and Professor in the Department of Mathematics & Computer Science.
Free
