A relative class number formula for an imaginary abelian number field by means of Dedekind sum |
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| Authors: | Mikihito Hirabayashi |
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| Institution: | (1) Kanazawa Institute of Technology, 7-1, Ogigaoka, Nonoichi-machi, Ishikawa 921-8501, Japan. e-mail: hira@neptune.kanazawa-it.ac.jp, JP |
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| Abstract: | We give a relative class number formula for an imaginary abelian number field by means of some ``Dedekind sum'. This is
a generalization of Carlitz and Olson's formula presented in 1955.
Received: 18 December 2001 / Revised version: 15 May 2002
Mathematics Subject Classification (2000): 11R29, 11R20 |
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