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Bateman, Paul T.; Purdy, George B.; Wagstaff, Samuel S. jun.

Some numerical results on Fekete polynomials. (English) Zbl 0301.10036

Math. Comput. 29, 7-23 (1975).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 5 Documents

MSC:

11M35 Hurwitz and Lerch zeta functions
26C10 Real polynomials: location of zeros
PDFBibTeX XMLCite
\textit{P. T. Bateman} et al., Math. Comput. 29, 7--23 (1975; Zbl 0301.10036)
Full Text: DOI

References:

[1] S. CHOWLA, ”Note on Dirichlet’s L-functions,” Acta Arith., v. 1, 1935, pp. 113-114. · Zbl 0011.06701
[2] M. FEKETE & G. PÓLYA, ”Über ein Problem von Laguerre,” Rend. Circ. Mat. Palermo, v. 34, 1912, pp. 89-120. · JFM 43.0145.02
[3] GOTTFRIED GRIMM, Über die reellen Nullstellen Dirichlet’scher L-Reihen, Dissertation, E. T. H., Zurich, 1932. · Zbl 0005.01002
[4] HWA S. HAHN, ”On a conjecture of Fekete,” J. Korean Math. Soc., v. 5, 1968, pp. 13-16.
[5] H. HEILBRONN, ”On real characters,” Acta Arith., v. 2, 1937, pp. 212-213. · JFM 63.0888.02
[6] M. E. Low, Real zeros of the Dedekind zeta function of an imaginary quadratic field, Acta Arith 14 (1967/1968), 117 – 140. · Zbl 0207.05602
[7] GEORG PÓLYA, ”Verschiedene Bemerkungen zur Zahlentheorie,” Jber. Deutsch. Math. Verein., v. 28, 1919, pp. 31-40. · JFM 47.0882.06
[8] G. PÓLYA & G. SZEGÖ, Aufgaben und Lehrsätze aus der Analysis. Vol. 2, Springer, Berlin, 1925. · JFM 51.0173.01
[9] J. Barkley Rosser, Real roots of real Dirichlet \?-series, J. Research Nat. Bur. Standards 45 (1950), 505 – 514.
[10] J. H. Wilkinson, Rounding errors in algebraic processes, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1963. · Zbl 1041.65502
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