Julius Frizzell, University of Waterloo
The Bernoulli Discrepancy
The Bernoulli numbers were originally defined by Jacob Bernoulli with the goal of finding a general formula tocompute the sum of the first n consecutive m-th powers. In modern math, they have many different applications,most notably in analytic number theory, where they are used to analytically continue the Riemann Zeta functionvia Euler-Maclaurin summation. However, modern mathematicians use a slightly different definition to the oneoriginally given by Bernoulli (which differs in only one term). In this talk, we will discuss the differencesbetween the two definitions, looking at just some of the many examples given by Peter Luschny in his ”BernoulliManifesto”.
MC 5501
(Refreshments will start at 4:30)