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Multiplicative Functions and the Sign of Maass Form Fourier Coefficients

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From Arithmetic to Zeta-Functions

Abstract

Mean value theorems for multiplicative arithmetic functions are applied to demonstrate uniformity of sign changes in the Fourier coefficients of automorphic forms.

In memory of Wolfgang Schwarz

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Correspondence to Peter D. T. A Elliott .

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Elliott, P.D.T.A. (2016). Multiplicative Functions and the Sign of Maass Form Fourier Coefficients. In: Sander, J., Steuding, J., Steuding, R. (eds) From Arithmetic to Zeta-Functions. Springer, Cham. https://doi.org/10.1007/978-3-319-28203-9_8

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