Central Binomial Sums, Multiple Clausen Values and Zeta Values

We find and prove relationships between Riemann zeta values and central binomial sums. We also investigate alternating binomial sums (also called Ap\'ery sums). The study of non-alternating sums leads to an investigation of different types of sums which we call multiple Clausen values. The study of alternating sums leads to a tower of experimental results involving polylogarithms in the golden ratio. In the non-alternating case, there is a strong connection to polylogarithms of the sixth root of unity, encountered in the 3-loop Feynman diagrams of {\tt hep-th/9803091} and subsequently in hep-ph/9910223, hep-ph/9910224, cond-mat/9911452 and hep-th/0004010.Comment: 17 pages, LaTeX, with use of amsmath and amssymb packages, to appear in Journal of Experimental Mathematic

Extreme value and Haar series estimates of point process boundaries

We present a new method for estimating the edge of a two-dimensional bounded set, given a finite random set of points drawn from the interior. The estimator is based both on Haar series and extreme values of the point process. We give conditions for various kind of convergence and we obtain remarkably different possible limit distributions. We propose a method of reducing the negative bias, illustrated by a simulation

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Newsletter, Vol. XVII, No. -

Newsletter created by and about the Society for Values in Higher Education. 1979 Fellows\u27 Meeting at Dickinson College Campaign Surges Ahead Via Phonothon GEM Institutions Chosen Society Viewed as Builder of Bridges Learning Skills Inventory Workshop Planned It\u27s California in 1980 Experience with Government Sought SVHE Election Process to be Studied Conference Planned on Bible as Literature New Career Patterns for Academics Recent Deaths New Positions New Fellow