On minkowski units constructed by special values of siegel modular functions

Takashi Fukuda; Keiichi Komatsu

doi:10.5802/jtnb.392

On minkowski units constructed by special values of siegel modular functions

Takashi Fukuda, Keiichi Komatsu

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Using the special values of Siegel modular functions, we construct Minkowski units for the ray class field k₆ of ℚ(exp(2πi/5)) modulo 6. Our work is based on investigating the prime decomposition of the special values and describing explicitly the action of the Galois group G(k₆/ℚ) for the special values. Futhermore we construct the full unit group of k₆ using modular and circular units under the GRH.

Original language	English
Pages (from-to)	133-140
Number of pages	8
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	15
Issue number	1
DOIs	https://doi.org/10.5802/jtnb.392
Publication status	Published - 2003

ASJC Scopus subject areas

Algebra and Number Theory

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10.5802/jtnb.392

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abstract = "Using the special values of Siegel modular functions, we construct Minkowski units for the ray class field k6 of ℚ(exp(2πi/5)) modulo 6. Our work is based on investigating the prime decomposition of the special values and describing explicitly the action of the Galois group G(k6/ℚ) for the special values. Futhermore we construct the full unit group of k6 using modular and circular units under the GRH.",

author = "Takashi Fukuda and Keiichi Komatsu",

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AB - Using the special values of Siegel modular functions, we construct Minkowski units for the ray class field k6 of ℚ(exp(2πi/5)) modulo 6. Our work is based on investigating the prime decomposition of the special values and describing explicitly the action of the Galois group G(k6/ℚ) for the special values. Futhermore we construct the full unit group of k6 using modular and circular units under the GRH.

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On minkowski units constructed by special values of siegel modular functions

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