Article:
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B. Heim, M. Neuhauser & F. Rupp (2017): Fourier Coefficients of Powers of the Dedekind Eta
Function, The Ramanujan Journal, published online: 31st of July 2017, DOI: 10.1007/s11139-017-9923-4.


Abstract:
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In this paper, we study the vanishing properties of Fourier coefficients of rth powers of the Dedekind
eta function. We give a certain type of classification of this property based on r. Further we extend
the results of Atkin, Cohen, and Newman for odd powers. This leads to a partial answer to a question
raised by van Lint. We also indicate possible generalization of the Lehmer conjecture.