On Multiple Shifted Convolution Sums

Ikuya Kaneko

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arXiv · 2310.06345

On Multiple Shifted Convolution Sums

Ikuya Kaneko

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Abstract

We prove strong estimates for averages of shifted convolution sums consisting of quadratic twists of $\mathrm{GL}_{2}$ $L$-functions. The key input involves the circle method together with standard tools such as Vorono\u{\i}, quadratic reciprocity, amplification, and divisor switching.

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Ikuya Kaneko. 2023-10-10. On Multiple Shifted Convolution Sums. https://arxiv.org/abs/2310.06345

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