Metric number theory of Fourier coefficients of modular forms

Paloma Bengoechea

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arXiv · 1807.07518

Metric number theory of Fourier coefficients of modular forms

Paloma Bengoechea

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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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Paloma Bengoechea. 2018-07-19. Metric number theory of Fourier coefficients of modular forms. https://arxiv.org/abs/1807.07518

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