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Multisection Revisited
by
Cecil C. Rousseau
University of Memphis
In Combinatorial Identities [John Wiley, 1968, p. 131], John Riordan describes series reversion as "a process of ancient vintage which uses the primitive roots of unity to divide a given series into two or more sections." The "ancient vintage" description does indeed apply. Multisection of the binomial expansion was given by Christian Ramus in 1834 [Knuth, Fundamental Algorithms, Addison-Wesley, 1973, p.70]. In this talk, we present more recent applications of the multisection formula to problems in combinatorics, number theory, and real analysis.
Date received: April 24, 2009
Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cayq-40.