Metric number theory of Fourier coefficients of modular forms

Bengoechea, Paloma

doi:10.1090/proc/14500

Metric number theory of Fourier coefficients of modular forms
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by Paloma Bengoechea PDF

Proc. Amer. Math. Soc. 147 (2019), 2835-2845 Request permission

Abstract:

We discuss the approximation of real numbers by Fourier coefficients of newforms, following recent work of Alkan, Ford, and Zaharescu. The main tools used here, besides the (now proved) Sato-Tate Conjecture, come from metric number theory.

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