On certain ray class invariants of real quadratic fields

Takuro SHINTANI

doi:10.2969/jmsj/03010139

Takuro SHINTANI

著者情報

ジャーナルフリー

1978 年 30 巻 1 号 p. 139-167

DOI https://doi.org/10.2969/jmsj/03010139

詳細

Published: 1978 Received: 1977/04/22 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) E. W. Barnes, The genesis of the double gamma functions, Proc. London Math. Soc., 31 (1899), 358-381.
2) E. W. Barnes, The theory of the double gamma function, Philosophical Transactions of the Royal Society (A), 196 (1901), 265-388.
3) E. W. Barnes, On the theory of the multiple gamma function, Tran. Cambridge Philos. Soc., 19 (1904), 374-425.
4) M. Deuring, Die Klassenkörper der komplexen Multiplikation, Enzykl. der math. Wiss., Bd I. 2, 23, Teubner, 1958.
5) K. Ramachandra, Some applications of Kronecker's limit formulas, Ann. of Math., 80 (1964), 104-148.
6) T. Shintani, On evalution of zeta functions of totally real algebraic number fields at non-positive integers, J. Fac. Sci. Univ. Tokyo, Sec. IA, 23 (1976), 393-417.
7) T. Shintani, On a Kronecker limit formula for real quadratic fields, ibid. 24 (1977), 167-199.
8) T. Shintani, On certain ray class invariants of real quadratic fields, Proc. Japan Acad., 53 (1977), 128-131.
9) C. L. Siegel, Lectures on Advanced Analytic Number Theory, Tata Institute of Fundamental Research, Bombay, 1961.
10) H. M. Stark, L-Functions at s=1. III. Totally real fields and Hilbert's Twelfth Problem, Advances in Math., 22 (1976), 64-84.
11) H. M. Stark, Class fields for real quadratic fields and L series at 1, Proc. Durham Conference (1977), 355-374.
12) H. M. Stark, Hilbert's twelfth problem and L-series (preprint).
13) H. Weber, Lehrbuch der Algebra III.
14) E. Hecke, Zur Theorie der elliptische Modul Funktionen, Werke, 428-460.

Right : [1] E. W. Barnes, The genesis of the double gamma functions, Proc. London Math. Soc., 31 (1899), 358-381.
[2] E. W. Barnes, The theory of the double gamma function, Philosophical Transactions of the Royal Society (A), 196 (1901), 265-388.
[3] E. W. Barnes, On the theory of the multiple gamma function, Tran. Cambridge Philos. Soc., 19 (1904), 374-425.
[4] M. Deuring, Die Klassenkörper der komplexen Multiplikation, Enzykl. der math. Wiss., Bd I. 2, 23, Teubner, 1958.
[5] K. Ramachandra, Some applications of Kronecker's limit formulas, Ann. of Math., 80 (1964), 104-148.
[6] T. Shintani, On evalution of zeta functions of totally real algebraic number fields at non-positive integers, J. Fac. Sci. Univ. Tokyo, Sec. IA, 23 (1976), 393-417.
[7] T. Shintani, On a Kronecker limit formula for real quadratic fields, ibid. 24 (1977), 167-199.
[8] T. Shintani, On certain ray class invariants of real quadratic fields, Proc. Japan Acad., 53 (1977), 128-131.
[9] C. L. Siegel, Lectures on Advanced Analytic Number Theory, Tata Institute of Fundamental Research, Bombay, 1961.
[11] H. M. Stark, Class fields for real quadratic fields and L series at 1, Proc. Durham Conference (1977), 355-374.
[12] H. M. Stark, Hilbert's twelfth problem and L-series (preprint).
[13] H. Weber, Lehrbuch der Algebra III.
[14] E. Hecke, Zur Theorie der elliptische Modul Funktionen, Werke, 428-460.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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