Mean square estimate for relatively short exponential sums involving Fourier coefficients of cusp forms

Anne-Maria Ernvall-Hytönen

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arXiv · 1311.3552

Mean square estimate for relatively short exponential sums involving Fourier coefficients of cusp forms

Anne-Maria Ernvall-Hytönen

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Abstract

We estimate the mean square of a short exponential sum involving Fourier coefficients of a cusp form with a linear twist, a smooth weight function, and a relatively short averaging interval.

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Anne-Maria Ernvall-Hytönen. 2014-07-13. Mean square estimate for relatively short exponential sums involving Fourier coefficients of cusp forms. https://arxiv.org/abs/1311.3552

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