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arXiv · 2606.08125

Arithmetic exceptionality of generalized Chebyshev polynomials of the second kind

Derya Acar·Metin Azmaz·Vural Cam·Ömer Küçüksakallı
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Abstract

In this paper, we show that generalized Chebyshev polynomials of the second kind, associated with the root system $A_2$, are not arithmetically exceptional. We achieve this by studying the norms of certain cyclotomic elements that admit a parametrization of finite fields.

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Derya Acar, Metin Azmaz, Vural Cam, Ömer Küçüksakallı. 2026-06-06. Arithmetic exceptionality of generalized Chebyshev polynomials of the second kind. https://arxiv.org/abs/2606.08125

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