On the zeros of a special sequence of polynomials
HTML articles powered by AMS MathViewer
- by K. Mahler PDF
- Math. Comp. 39 (1982), 207-212 Request permission
Abstract:
The zeros of the polynomials ${P_n}(z) = \Sigma _{k = 0}^{n - 1}{z^{{2^k}}}$ are studied and a number of open questions are discussed.References
- Ronald J. Evans, Generalized cyclotomic periods, Proc. Amer. Math. Soc. 81 (1981), no. 2, 207–212. MR 593458, DOI 10.1090/S0002-9939-1981-0593458-7 I. L. Fuchs, "Über die Perioden, welche aus den Wurzeln der Gleichung ${\omega ^n} = 1$ gebildet sind," J. Reine Angew. Math., v. 61, 1863, 374-386. R. Jentsch, Untersuchungen zur Theorie der Folgen analytischer Funktionen, Inauguraldissertation Berlin, 1914, 39 s. E. Landau, Darstellung und Begründung einiger neuen Ergebnisse der Funktionentheorie, Springer-Verlag, Berlin, 1916.
- K. Mahler, On a special function, J. Number Theory 12 (1980), no. 1, 20–26. MR 566865, DOI 10.1016/0022-314X(80)90069-4
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 39 (1982), 207-212
- MSC: Primary 12D10; Secondary 30C15, 33A40
- DOI: https://doi.org/10.1090/S0025-5718-1982-0658225-3
- MathSciNet review: 658225