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Hierarchy of the Selberg Zeta Functions

✍ Scribed by Yasufumi Hashimoto; Masato Wakayama


Publisher
Springer
Year
2005
Tongue
English
Weight
134 KB
Volume
73
Category
Article
ISSN
0377-9017

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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. Al