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Kronecker’s first limit formula, revisited

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 $$d^{\prime }$$ d ′ and certain winding number functions coming from the closed geodesics associated with the real quadratic field of discriminant $$d^{\prime }d$$ d ′ d . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Research in the Mathematical Sciences Springer Journals

Kronecker’s first limit formula, revisited

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References (60)

Publisher
Springer Journals
Copyright
Copyright © 2018 by SpringerNature
Subject
Mathematics; Mathematics, general; Applications of Mathematics; Computational Mathematics and Numerical Analysis
eISSN
2197-9847
DOI
10.1007/s40687-018-0138-0
Publisher site
See Article on Publisher Site

Abstract

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 $$d^{\prime }$$ d ′ and certain winding number functions coming from the closed geodesics associated with the real quadratic field of discriminant $$d^{\prime }d$$ d ′ d .

Journal

Research in the Mathematical SciencesSpringer Journals

Published: Apr 2, 2018

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