DUMU Lecture
Wednesday, September 7, 2016, 4:30pm, Physics 119
Steven J. Miller (Williams College)
Why the IRS cares about the Riemann Zeta Function and Number Theory (and why you should too!)
Abstract:- Many systems exhibit a digit bias. For example, the
first digit base 10 of the Fibonacci numbers or of $2^n$ equals 1 about
30\% of the time; the IRS uses this digit bias to detect fraudulent
corporate tax returns. This phenomenon, known as Benford's Law, was
first noticed by observing which pages of log tables were most worn from
age -- it's a good thing there were no calculators 100 years ago! We'll
discuss the general theory and applications, talk about some fun
examples (ranging from the $3x+1$ problem to the Riemann zeta function as
time permits), and discuss some current open problems suitable for
undergraduate research projects.
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