On sets of algebraic integers whose remaining conjugates lie in the unit circle
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- by David G. Cantor PDF
- Trans. Amer. Math. Soc. 105 (1962), 391-406 Request permission
References
- J. W. S. Cassels, An introduction to Diophantine approximation, Cambridge Tracts in Mathematics and Mathematical Physics, No. 45, Cambridge University Press, New York, 1957. MR 0087708 E. Hecke, Vorlesungen über die Theorie der algebraischen Zahlen, Berlin, 1923, pp. 118-119.
- John B. Kelly, A closed set of algebraic integers, Amer. J. Math. 72 (1950), 565–572. MR 36265, DOI 10.2307/2372054 L. Kronecker, Werke, Vol 1, Leipzig, 1895, pp. 105-107.
- Charles Pisot, La répartition modulo 1 et les nombres algébriques, Ann. Scuola Norm. Super. Pisa Cl. Sci. (2) 7 (1938), no. 3-4, 205–248 (French). MR 1556807
- J. Dufresnoy and Ch. Pisot, Sur un ensemble fermé d’entiers algébriques, Ann. Sci. Ecole Norm. Sup. (3) 70 (1953), 105–133 (French). MR 0059956 G. Pólya, Sur les séries entières a coefficients entiers, Proc. London Math. Soc. 21 (1923), 22-38. G. Pólya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Vol. 2, Berlin, 1925, p. 142.
- R. Salem, Power series with integral coefficients, Duke Math. J. 12 (1945), 153–172. MR 11720
- P. A. Samet, Algebraic integers with two conjugates outside the unit circle, Proc. Cambridge Philos. Soc. 49 (1953), 421–436. MR 56030, DOI 10.1017/s0305004100028589 E. C. Titchmarsh, Theory of functions, London, 1939, pp. 224-225.
Additional Information
- © Copyright 1962 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 105 (1962), 391-406
- MSC: Primary 10.34; Secondary 10.66
- DOI: https://doi.org/10.1090/S0002-9947-1962-0141650-0
- MathSciNet review: 0141650