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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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Asymptotic expansions of multiple zeta-functions and Eisenstein series
by
Kohji Matsumoto
Graduate School of Mathematics, Nagoya University

We discuss a general type of multiple zeta-functions, which includes Barnes multiple zeta-functions and also Euler-Zagier sums as special cases. Our main results are various asymptotic expansion formulas, from which we can deduce asymptotic expansions of holomorphic Eisenstein series (for the full modular group) and the Dedekind eta function. Applications to higher power moments of Hurwitz zeta-functions are also discussed.

Date received: March 3, 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-50.