Abstract
The Fekete polynomials are defined, for prime p, by
where (\( \left( {\frac{ \cdot }{p}} \right) \)) is the Legendre symbol. Recall that the Legendre symbol (\( \left( {\frac{k}{p}} \right) \)) is defined as follows:
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Selected References
P. Borwein and S. Choi, Explicit merit factor formulae for Fekete and Turyn polynomials, Trans. Amer. Math. Soc. 354 (2002), 219–234.
P. Borwein, S. Choi, and S. Yazdani, An extremal property of Fekete polynomials, Proc. Amer. Math. Soc. 129 (2001), 19–27.
B. Conrey, A. Granville, B. Poonen, and K. Soundararajan, Zeros of Fekete polynomials, Ann. Inst. Fourier (Grenoble) 50 (2000), 865–889.
H.L. Montgomery, An exponential polynomial formed with the Legendre symbol, Acta Arith. 37 (1980), 375–380.
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© 2002 Springer-Verlag New York, Inc.
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Borwein, P. (2002). Fekete Polynomials. In: Computational Excursions in Analysis and Number Theory. CMS Books in Mathematics / Ouvrages de mathématiques de la SMC. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21652-2_5
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DOI: https://doi.org/10.1007/978-0-387-21652-2_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3000-2
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