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arxiv: 1311.3552 · v2 · pith:4EBFQ7O4new · submitted 2013-11-14 · 🧮 math.NT

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

classification 🧮 math.NT
keywords shortcoefficientscuspestimateexponentialfourierinvolvingmean
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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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