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[http://www.icsi.berkeley.edu/~dbailey/ David H Bailey], Lawrence Berkeley Lab  [[http://www.icsi.berkeley.edu/~dbailey/David H Bailey]], Lawrence Berkeley Lab 
Experimental Mathematics and HighPerformance Computing
David H Bailey, Lawrence Berkeley Lab
Abstract:
Recent developments in "experimental mathematics" have underscored the value of highperformance computing in modern mathematical research. The most frequent computations that arise here are highprecision (typically severalhundreddigit accuracy) evaluations of integrals and series, together with integer relation detections using the "PSLQ" algorithm. Some recent highlights in this arena include: (2) the discovery of "BBP"type formulas for various mathematical constants, including pi and log(2); (3) the discovery of analytic evaluations for several classes of multivariate zeta sums; (4) the discovery of Aperylike formulas for the Riemann zeta function at integer arguments; and (5) the discovery of analytic evaluations and linear relations among certain classes of definite integrals that arise in mathematical physics. The talk will include a live demo of the "experimental mathematician's toolkit".