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Search: MSC category 11G15 ( Complex multiplication and moduli of abelian varieties [See also 14K22] )

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1. CMB 2006 (vol 49 pp. 21)

Chapman, Robin; Hart, William
Evaluation of the Dedekind Eta Function
We extend the methods of Van der Poorten and Chapman for explicitly evaluating the Dede\-kind 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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