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On augmented Schottky spaces and automorphic forms, II

Published online by Cambridge University Press:  22 January 2016

Hiroki Sato*
Affiliation:
Department of Mathematics, Faculty of Science, Shizuoka University, 836, Ohya, Shizuoka, 422, Japan
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This is the second half of the paper entitled “On augmented Schottky spaces and automorphic forms”. In the first half, we introduced new coordinates to the Schottky space, and defined the augmented Schottky space by using the new coordinates. Furthermore we considered relations between the augmented Schottky space and Riemann surfaces with or without nodes.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

[ 1 ] Bers, L., Spaces of degenerating Riemann surfaces, Ann. of Math. Studies, 79 (1974), 4355.Google Scholar
[ 2 ] Bers, L., Automorphic forms for Schottky groups, Adv. in Math., 16 (1975), 332361.Google Scholar
[ 3 ] Ford, L. R., Automorphic Functions, Chelsea, New York, 1951.Google Scholar
[ 4 ] Sato, H., On augmented Schottky spaces and automorphic forms, I, Nagoya Math. J., 76 (1979), 151175.Google Scholar
[ 5 ] Sato, H., A property of new coordinates defining augmented Schottky spaces, Nagoya Math. J., 88 (1982), 7378.Google Scholar