Beatty sequences and multiplicative number theory

• Autorzy: Abercrombie Alex G.
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 70
• Numer: 3
• Strony: 195-207

Daty

wydano

1995

otrzymano

1993-12-15

poprawiono

1994-09-23

Twórcy

autor

Abercrombie Alex G.

• Department of Pure Mathematics, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX, U.K.

Bibliografia

• [1] S. D. Chowla, Some problems of Diophantine approximation I, Math. Z. 33 (1931), 544-563.
• [2] W. J. Ellison (with M. Mendès France), Les Nombres Premiers, Hermann, 1975.
• [3] S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, London Math. Soc. Lecture Note Ser. 126, Cambridge University Press, 1991.
• [4] D. R. Heath-Brown, The fourth power moment of the Riemann zeta function, Proc. London Math. Soc. (3) 38 (1979), 385-422.
• [5] E. Hlawka, The Theory of Uniform Distribution, AB Academic Publishers, 1984.
• [6] L.-K. Hua, Introduction to Number Theory, Springer, 1982.
• [7] S. Lang, Introduction to Diophantine Approximation, Addison-Wesley, 1966.
• [8] H. A. Porta and K. B. Stolarsky, Wythoff pairs as semigroup invariants, Adv. in Math. 85 (1991), 69-82
• [9] S. Ramanujan, Some formulae in the analytic theory of numbers, Messenger of Math. 45 (1916), 81-84.
• [10] J. D. Vaaler, Some extremal functions in Fourier analysis, Bull. Amer. Math. Soc. 12 (1985), 183-216.