Arithmetic exceptionality of generalized Chebyshev polynomials of the second kind
classification
🧮 math.NT
keywords
chebyshevgeneralizedkindpolynomialssecondachieveadmitarithmetic
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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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