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On a Certain Function Analogous to log|η(z)|

Published online by Cambridge University Press:  22 January 2016

Tetsuya Asai*
Affiliation:
Mathematical Institute, Nagoya University
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The purpose of this paper is to give the limit formula of the Kronecker’s type for a non-holomorphic Eisenstein series with respect to a Hubert modular group in the case of an arbitrary algebraic number field. Actually, we shall generalize the following result which is well-known as the first Kronecker’s limit formula. From our view-point, this classical case is corresponding to the case of the rational number field Q.

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970