Distribution of values of Hardy sums over Chebyshev polynomials

• DOI: 10.3934/math.2024186
• Publication Date: 2024-01-10T11:14:28Z
• Authors: Jiankang Wang; Zhefeng Xu; Minmin Jia
• Keywords: Chebyshev nodes

<abstract><p>This paper mainly studied the distribution of values Hardy sums involving Chebyshev polynomials. By using method analysis and arithmetic properties polynomials first kind, we obtained a sharp asymptotic formula for hybrid mean value $ S_5(h, q) kind. In addition, also gave S(h, S_{3}(h, Finally, found reciprocal formulas S_{4}(h, kind.</p></abstract>