On a Finite Field Analogue of van der Corput Differencing

Ikuya Kaneko

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arXiv · 2312.02525

On a Finite Field Analogue of van der Corput Differencing

Ikuya Kaneko

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Abstract

We establish nontrivial bounds for general bilinear forms with a given periodic function, which are thought of as an analogue of van der Corput differencing for exponential sums. The proof employs Poisson summation, Cauchy-Schwarz, and the iteration thereof.

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Ikuya Kaneko. 2023-12-05. On a Finite Field Analogue of van der Corput Differencing. https://arxiv.org/abs/2312.02525

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