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Selberg Zeta Functions over Function Fields

โœ Scribed by Hirofumi Nagoshi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
236 KB
Volume
90
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

We compute explicitly the Selberg trace formula for principal congruence subgroups of PGL(2, F q [t]) which is the modular group in positive characteristic cases. We also express the Selberg zeta function as a determinant of the Laplacian which is composed of both discrete and continuous spectra. All factors are calculated explicitly, and they are rational functions in q &s .

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