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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A computation of minimal polynomials of special values of Siegel modular functions


Author: Tsuyoshi Itoh
Journal: Math. Comp. 72 (2003), 969-973
MSC (2000): Primary 11G15, 11R27, 11Y40
Published electronically: March 22, 2002
MathSciNet review: 1954979
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Abstract: Recently, Fukuda and Komatsu constructed units of a certain abelian extension of $\mathbb{Q}(\exp(2 \pi \sqrt{-1}/5))$ using special values of Siegel modular functions. In this paper, we determine the minimal polynomials of these units.


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Additional Information

Tsuyoshi Itoh
Affiliation: Department of Mathematical Sciences, School of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
Email: tsitoh@mn.waseda.ac.jp

DOI: http://dx.doi.org/10.1090/S0025-5718-02-01430-8
PII: S 0025-5718(02)01430-8
Received by editor(s): March 15, 2000
Received by editor(s) in revised form: April 10, 2001
Published electronically: March 22, 2002
Article copyright: © Copyright 2002 American Mathematical Society