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A note on the Kronecker limit formula for real quadratic fields

Published online by Cambridge University Press:  26 February 2010

Shigeki Egami
Shigeki Egami
Affiliation:
College of Liberal Arts, Toyama University, Gofuku 3190, Toyama, Japan.
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Extract

In this paper we give alternative proofs of some formulas of Shintani [1, 2] and Zagier [3] concerning Kronecker limit formulas for real quadratic fields.

Type
Research Article
Information
Mathematika , Volume 33 , Issue 2 , December 1986 , pp. 239 - 243
Copyright
Copyright © University College London 1986

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References

1.Shintani, T.. On a Kronecker limit formula for real quadratic fields. J. Fac. Sci. Univ. Tokyo, Sec. IA, 24 (1977), 167–199.Google Scholar
2.Shintani, T.. On evaluation of zeta function of totally real algebraic number fields at non-positive integers. J. Fac. Sci. Univ. Tokyo, Sec. IA, 23 (1976), 393–417.Google Scholar
3.Zagier, D.. A Kronecker limit formula for real quadratic fields. Math. Ann., 213 (1975), 153–184.CrossRefGoogle Scholar