Relations between polynomial roots

• Autorzy: Michael Drmota , Mariusz Skałba
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 71
• Numer: 1
• Strony: 65-77

Daty

wydano

1995

otrzymano

1994-03-28

poprawiono

1994-09-14

Twórcy

autor

Michael Drmota

• Department of Algebra and Discrete Mathematics, Technical University of Vienna, Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria

autor

Mariusz Skałba

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

• [1] J. H. Conway and A. J. Jones, Trigonometric diophantine equations (On vanishing sums of roots of unity), Acta Arith. 30 (1976), 229-240.
• [2] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401.
• [3] M. Drmota and M. Skałba, On multiplicative and linear independence of polynomial roots, in: Contributions to General Algebra 7, D. Dorninger, G. Eigenthaler, H. K. Kaiser and W. B. Müller (eds.), Hölder-Pichler-Tempsky, Wien, and Teubner, Stuttgart, 1991, 127-135.
• [4] T. Hawkins, The origins of the theory of group characters, Arch. Hist. Exact Sci. 7 (1971), 142-170.
• [5] H. B. Mann, On linear relations between roots of unity, Mathematika 12 (1965), 107-117.
• [6] W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers, Springer, Berlin, 1990.
• [7] A. Schinzel, On the reducibility of polynomials and in particular of trinomials, Acta Arith. 11 (1965), 1-34.
• [8] C. J. Smyth, Additive and multiplicative relations connecting conjugate algebraic numbers, J. Number Theory 23 (1986), 243-254.
• [9] C. J. Smyth, Conjugate algebraic numbers on conics, Acta Arith. 40 (1982), 333-346