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College of Science and Mathematics |
Department of Mathematics
Mathematics Seminar Series - Spring 2007
Monday,
March 26, 2007
2:30pm, Science 2-065 Akalu TeferaGrand Valley State University and MITComputer-generated and Combinatorial Proofs of Certain Identities
Abstract:
In early nineties symbolic summation received a dramatic boost with the
introduction of the Wilf-Zeilberger (WZ) method. The WZ method finds
closed-form expressions for various sums and proves large classes of
combinatorial identities using an elegant algorithmic procedure. In
this talk we explore and highlight the discrete WZ method and formulate
combinatorial identities that give representation of positive integers
as linear combination of even powers of 2 with binomial coefficients. The presentations cover a large variety of topics and are intended for a general math audience. The seminar is organized by Prof. Alfred Noël and we usually meet Monday afternoons, from 2:30 pm to 4:00 pm.
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