Equations in roots of unity

• Autorzy: Hans Peter Schlickewei
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996
• Tom: 76
• Numer: 2
• Strony: 99-108

Daty

wydano

1996

otrzymano

1994-05-17

Twórcy

autor

Hans Peter Schlickewei

• Abteilung Mathematik II, Universität Ulm, Helmholzstr. 18, D-89069 Ulm, Germany

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] H. B. Mann, On linears relations between roots of unity, Mathematika 12 (1965), 107-117.
• [3] J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94.
• [4] A. Schinzel, Reducibility of lacunary polynomials, VIII, Acta Arith. 50 (1988), 91-106.
• [5] H. P. Schlickewei, Linear equations over groups of finite rank, to appear.
• [6] H. P. Schlickewei and W. M. Schmidt, On polynomial-exponential equations, Math. Ann. 296 (1993), 339-361.
• [7] U. Zannier, On the linear independence of roots of unity over finite extensions of ℚ, Acta Arith. 52 (1989), 171-182.