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Millennial Conference on Number Theory
May 21-26, 2000
University of Illinois
Urbana, IL, USA

Organizers
B.C. Berndt, N. Boston, H.G. Diamond, A.J. Hildebrand, W. Philipp

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q-Series Moments and Cumulants
by
Larry Ericksen

Generating functions for q-series moments and cumulants are given in closed exponential form and power series expansions. The cumulants for logarithmic polynomials are derived in terms of Eulerian numbers and truncated divisor functions.

And the q-series moments are expressed by Euler and Bernoulli polynomials.

Date received: March 9, 2000

Copyright © 2000 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 # cadx-64.