Order of Selbergʼs and Ruelleʼs zeta functions for compact even-dimensional locally symmetric spaces
نویسندگان
چکیده
منابع مشابه
Geometric zeta-functions of locally symmetric spaces
The theory of geometric zeta functions for locally symmetric spaces as initialized by Selberg and continued by numerous mathematicians is generalized to the case of higher rank spaces. We show analytic continuation, describe the divisor in terms of tangential cohomology and in terms of group cohomology which generalizes the Patterson conjecture. We also extend the range of zeta functions in con...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2014
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2013.10.052