An application of siegel modular functions to Kronecker’s limit formula

Takashi Fukuda, Keiichi Komatsu

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    We try to write the values of L-functions associated to some abelian extensions of (Formula presented) using units given by Siegel modular functions hoping that our trial brings some new features in algebraic number theory.

    Original languageEnglish
    Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    PublisherSpringer Verlag
    Pages108-119
    Number of pages12
    Volume2369
    ISBN (Print)3540438637
    DOIs
    Publication statusPublished - 2002
    Event5th International Algorithmic Number Theory Symposium, ANTS 2002 - Sydney, Australia
    Duration: 2002 Jul 72002 Jul 12

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume2369
    ISSN (Print)03029743
    ISSN (Electronic)16113349

    Other

    Other5th International Algorithmic Number Theory Symposium, ANTS 2002
    CountryAustralia
    CitySydney
    Period02/7/702/7/12

    Fingerprint

    Modular Functions
    Algebraic number
    Number theory
    L-function
    Unit

    ASJC Scopus subject areas

    • Computer Science(all)
    • Theoretical Computer Science

    Cite this

    Fukuda, T., & Komatsu, K. (2002). An application of siegel modular functions to Kronecker’s limit formula. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2369, pp. 108-119). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2369). Springer Verlag. https://doi.org/10.1007/3-540-45455-1_9

    An application of siegel modular functions to Kronecker’s limit formula. / Fukuda, Takashi; Komatsu, Keiichi.

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 2369 Springer Verlag, 2002. p. 108-119 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2369).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Fukuda, T & Komatsu, K 2002, An application of siegel modular functions to Kronecker’s limit formula. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 2369, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2369, Springer Verlag, pp. 108-119, 5th International Algorithmic Number Theory Symposium, ANTS 2002, Sydney, Australia, 02/7/7. https://doi.org/10.1007/3-540-45455-1_9
    Fukuda T, Komatsu K. An application of siegel modular functions to Kronecker’s limit formula. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 2369. Springer Verlag. 2002. p. 108-119. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/3-540-45455-1_9
    Fukuda, Takashi ; Komatsu, Keiichi. / An application of siegel modular functions to Kronecker’s limit formula. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 2369 Springer Verlag, 2002. pp. 108-119 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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