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Sur la lacunarité des puissances de η

Published online by Cambridge University Press:  18 May 2009

Jean-Pierre Serre
Jean-Pierre Serre
Affiliation:
Collège De France, F-75231 Paris Cedex 05
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La fonction η de Dedekind est définie par

où , Im(z)>0. C'est une forme modulaire parabolique de poids 1/2. Si r est un entier, la puissance r–ième de η s'écrit;

où les coefficients pr(n) sone définis par l'identité

.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 27 , October 1985 , pp. 203 - 221
Copyright
Copyright © Glasgow Mathematical Journal Trust 1985

References

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