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THE PICARD GROUP, CLOSED GEODESICS, AND ZETA-FUNCTIONS
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UNSPECIFIED (1994) THE PICARD GROUP, CLOSED GEODESICS, AND ZETA-FUNCTIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 344 (2). pp. 857-872. ISSN 0002-9947.
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Abstract
In this article we consider the Picard group SL(2, Z[i]), viewed as a discrete subgroup of the isometries of hyperbolic space. We fix a canonical choice of generators and then construct a Markov partition for the action of the group on the sphere at infinity.
Our main application is to the study of the zeta function associated to the associated three-dimensional hyperbolic manifold.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | ||||
Publisher: | AMER MATHEMATICAL SOC | ||||
ISSN: | 0002-9947 | ||||
Official Date: | August 1994 | ||||
Dates: |
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Volume: | 344 | ||||
Number: | 2 | ||||
Number of Pages: | 16 | ||||
Page Range: | pp. 857-872 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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