Kronecker’s first limit formula, revisited

We give some new applications of Kronecker’s first limit formula to real quadratic fields. In particular, we give a surprising geometrical relationship between the CM points associated with two imaginary quadratic fields with discriminants d and d ′ and certain winding number functions coming from t...

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Bibliographic Details
Published in:Research in the mathematical sciences 2018-06, Vol.5 (2), p.1-21, Article 20
Main Authors: Duke, W., Imamoḡlu, Ö., Tóth, Á.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Fields (mathematics)
Geodesy
Mathematics
Mathematics and Statistics
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Number theory
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Summary:We give some new applications of Kronecker’s first limit formula to real quadratic fields. In particular, we give a surprising geometrical relationship between the CM points associated with two imaginary quadratic fields with discriminants d and d ′ and certain winding number functions coming from the closed geodesics associated with the real quadratic field of discriminant d ′ d .
ISSN:2522-0144
2197-9847
DOI:10.1007/s40687-018-0138-0