Abstract
ABSTRACTIn this article, complex powers of the Dedekind eta function are studied. The vanishing of the nth Fourier coefficients are labeled by the roots of an attached polynomial pn(x). We study these polynomials, and their values and roots distribution. The considered polynomials of degree n ⩽ 700 are verified as Hurwitz polynomials. We study the value distribution of the polynomials restricted to the imaginary axis.
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