On the $L^1$ norm of an exponential sum involving the divisor function

arxiv: 1704.05953 · v1 · pith:KCTXFKUUnew · submitted 2017-04-19 · 🧮 math.NT

On the L¹ norm of an exponential sum involving the divisor function

D. A. Goldston , M. Pandey This is my paper

classification 🧮 math.NT

keywords divisorfunctionnormalphaboundsexponentialinvolvingobtain

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In this paper, we obtain bounds on the $L^1$ norm of the sum $\sum_{n\le x}\tau(n) e(\alpha n)$ where $\tau(n)$ is the divisor function.

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