On Kronecker limit formulas for real quadratic fields
نویسندگان
چکیده
منابع مشابه
On Kronecker limit formulas for real quadratic fields
Let ζ(s,C) be the partial zeta function attached to a ray class C of a real quadratic field. We study this zeta function at s = 1 and s = 0, combining some ideas and methods due to Zagier and Shintani. The main results are (1) a generalization of Zagier’s formula for the constant term of the Laurent expansion at s = 1, (2) some expressions for the value and the first derivative at s = 0, relate...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2008
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2007.05.010