Geodesic
Evaluation of the Dedekind Eta Function
Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 21-35

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DOI

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.
DOI : 10.4153/CMB-2006-003-1
Mots-clés : 11G15 
Chapman, Robin; Hart, William. Evaluation of the Dedekind Eta Function. Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 21-35. doi: 10.4153/CMB-2006-003-1
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     title = {Evaluation of the {Dedekind} {Eta} {Function}},
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     year = {2006},
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     doi = {10.4153/CMB-2006-003-1},
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