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Evaluation of the Dedekind Eta Function
Published online by Cambridge University Press: 20 November 2018
Abstract
We extend the methods of Van der Poorten and Chapman for explicitly evaluating the Dedekind eta function at quadratic irrationalities. Via evaluation of Hecke $L$-series we obtain new evaluations at points in imaginary quadratic number fields with class numbers 3 and 4. Further, we overcome the limitations of the earlier methods and via modular equations provide explicit evaluations where the class number is 5 or 7.
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- Copyright © Canadian Mathematical Society 2006
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