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An Application of Siegel Modular Functions to Kronecker’s Limit Formula

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Algorithmic Number Theory (ANTS 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2369))

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Abstract

We try to write the values of L-functions associated to some abelian extensions of ℚ(exp(2πi/13)+exp(6πi/13)+exp(18πi/13)) using units given by Siegel modular functions hoping that our trial brings some new features in algebraic number theory.

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Author information

Authors and Affiliations

  1. Department of Mathematics, College of Industrial Technology, Nihon University, 2-11-1 Shin-ei, Narashino, Chiba, Japan

    Takashi Fukuda

  2. Department of Information and Computer Science, School of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo, 169, Japan

    Keiichi Komatsu

Authors
  1. Takashi Fukuda
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  2. Keiichi Komatsu
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Editor information

Editors and Affiliations

  1. School of Mathematics and Statistics, F07, University of Sydney, Sydney, NSW, 2006, Australia

    Claus Fieker  & David R. Kohel  & 

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Fukuda, T., Komatsu, K. (2002). An Application of Siegel Modular Functions to Kronecker’s Limit Formula. In: Fieker, C., Kohel, D.R. (eds) Algorithmic Number Theory. ANTS 2002. Lecture Notes in Computer Science, vol 2369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45455-1_9

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  • DOI: https://doi.org/10.1007/3-540-45455-1_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43863-2

  • Online ISBN: 978-3-540-45455-7

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