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Analytic continuation of multiple zeta functions
Author:
Jianqiang Zhao
Journal:
Proc. Amer. Math. Soc. 128 (2000), 1275-1283
MSC (1991):
Primary 11M99; Secondary 30D30, 30D10
Posted:
August 5, 1999
MathSciNet review:
1670846
Full-text PDF Free Access
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Abstract: In this paper we shall define the analytic continuation of the multiple (Euler-Riemann-Zagier) zeta functions of depth  : 
where  and  . We shall also study their behavior near the poles and pose some open problems concerning their zeros and functional equations at the end.
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Additional Information
Jianqiang Zhao
Affiliation:
Department of Mathematics, Brown University, Providence, Rhode Island 02912
Address at time of publication:
Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104
Email:
jzhao@math.brown.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-99-05398-8
PII:
S 0002-9939(99)05398-8
Keywords:
Analytic continuation,
multiple zeta function,
generalized function
Received by editor(s):
June 21, 1998
Posted:
August 5, 1999
Communicated by:
Dennis A. Hejhal
Article copyright:
© Copyright 2000 American Mathematical Society
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