Ramanujan's trigonometric sums and orthogonal polynomials on the unit circle

DOI10.1007/s11139-022-00576-2OpenAlexW4225389429MaRDI QIDQ2097508

Alexei Zhedanov

Publication date: 14 November 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12543

zbMATH Keywords

primitive rootcyclotomic polynomialspolynomials orthogonal on the unit circleRamanujan's trigonometric sums

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Polynomials in number theory (11C08) Other special orthogonal polynomials and functions (33C47)

Cites Work

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• Inverse cyclotomic polynomials
• On sieved orthogonal polynomials. IX: Orthogonality on the unit circle
• Duality of orthogonal polynomials on a finite set
• A characterization of classical and semiclassical orthogonal polynomials from their dual polynomials
• Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators
• Monic Polynomials in Z[x with Roots in the Unit Disc]
• Some remarks on Ramanujan sums and cyclotomic polynomials

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