On limits of PV k-tuples

• Autorzy: David Garth
• Języki publikacji: EN

Kategorie tematyczne

• 11R06: PV-numbers and generalizations; other special algebraic numbers; Mahler measure

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 90
• Numer: 3
• Strony: 291-299

Daty

wydano

1999

otrzymano

1998-11-23

poprawiono

1999-03-17

Twórcy

autor

David Garth

• Department of Mathematics, Kansas State University, Manhattan, KS 66506, U.S.A.

Bibliografia

• [1] D. G. Cantor, On sets of algebraic integers whose remaining conjugates lie in the unit circle, Trans. Amer. Math. Soc. 105 (1962), 391-406.
• [2] J. Dufresnoy et C. Pisot, Sur un ensemble fermé d'entiers algébriques, Ann. Sci. École Norm. Sup. (3) 70 (1953), 105-133.
• [3] J. B. Kelley, A closed set of algebraic integers, Amer. J. Math. 72 (1950), 565-572.
• [4] R. Salem, A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan, Duke Math. J. 11 (1944), 103-108.
• [5] P. A. Samet, Algebraic integers with two conjugates outside the unit circle, Proc. Cambridge Philos. Soc. 49 (1953), 421-436.
• [6] P. A. Samet, Algebraic integers with two conjugates outside the unit circle. II, ibid. 50 (1954), 323.
• [7] T. Vijayaraghavan, On the fractional parts of the powers of a number. II, ibid. 37 (1941), 349-357.