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Recent Progress in the Study of Polynomials with Constrained Coefficients

In: Trigonometric Sums and Their Applications

Author

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  • Tamás Erdélyi

    (Texas A&M University, Department of Mathematics)

Abstract

This survey gives a taste of the author’s recent work on polynomials with constrained coefficients. Special attention is paid to unimodular, Littlewood, Newman, Rudin-Shapiro, and Fekete polynomials, their flatness and ultraflatness properties, their L q norms on the unit circle including Mahler’s measure, and bounds on the number of unimodular zeros of self-reciprocal polynomials with coefficients from a finite set of real numbers. Some interesting connections are explored, and a few conjectures are also made.

Suggested Citation

  • Tamás Erdélyi, 2020. "Recent Progress in the Study of Polynomials with Constrained Coefficients," Springer Books, in: Andrei Raigorodskii & Michael Th. Rassias (ed.), Trigonometric Sums and Their Applications, pages 29-69, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-37904-9_2
    DOI: 10.1007/978-3-030-37904-9_2
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