Evaluation of the Dedekind Eta Function

Chapman, Robin ; Hart, William

Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 21-35

Résumé

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.

Détail

DOI : 10.4153/CMB-2006-003-1

Mots-clés : 11G15

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