منابع مشابه
A generalization of Kronecker’s first limit formula
Kronecker’s first limit formula gives the polar and constant terms of the Laurent series expansion of the Eisenstein series for SL(2,Z) at s = 1. In this article, we generalize the formula to certain maximal parabolic Eisenstein series associated to SL(n,Z) for n ≥ 2.
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We establish a Kronecker limit formula for the zeta function ζF (s,A) of a wide ideal class A of a totally real number field F of degree n. This formula relates the constant term in the Laurent expansion of ζF (s,A) at s = 1 to a toric integral of a SLn(Z)-invariant function logG(Z) along a Heegner cycle in the symmetric space of GLn(R). We give several applications of this formula to algebraic...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1999
ISSN: 0022-314X
DOI: 10.1006/jnth.1999.2408