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

Takashi Fukuda; Keiichi Komatsu

doi:10.1007/3-540-45455-1_9

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

Takashi Fukuda, Keiichi Komatsu

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Publisher	Springer Verlag
Pages	108-119
Number of pages	12
Volume	2369
ISBN (Print)	3540438637
DOIs	https://doi.org/10.1007/3-540-45455-1_9
Publication status	Published - 2002
Event	5th International Algorithmic Number Theory Symposium, ANTS 2002 - Sydney, Australia Duration: 2002 Jul 7 → 2002 Jul 12

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2369
ISSN (Print)	03029743
ISSN (Electronic)	16113349

Other

Other	5th International Algorithmic Number Theory Symposium, ANTS 2002
Country/Territory	Australia
City	Sydney
Period	02/7/7 → 02/7/12

ASJC Scopus subject areas

Computer Science(all)
Theoretical Computer Science

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10.1007/3-540-45455-1_9

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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 proceeding › Conference 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)). doi: 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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An application of siegel modular functions to Kronecker’s limit formula

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