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arXiv · 2605.24821

Rational Points on Danielewski Surfaces over Finite fields and Polygonal Numbers

Sakshi Gupta·Anit Kuckian·Indranath Sengupta
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Abstract

We study the number of $\mathbb{F}_q$-rational points on Danielewski and double Danielewski surfaces over the finite field $\mathbb{F}_q$ and show an interesting connection with the polygonal numbers.

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Sakshi Gupta, Anit Kuckian, Indranath Sengupta. 2026-09-11. Rational Points on Danielewski Surfaces over Finite fields and Polygonal Numbers. https://arxiv.org/abs/2605.24821

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