@article{bwmeta1.element.bwnjournal-article-aav70i3p195bwm,
author = {Abercrombie Alex G.},
title = {Beatty sequences and multiplicative number theory},
journal = {Acta Arithmetica},
volume = {69},
year = {1995},
pages = {195-207},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav70i3p195bwm}
}
Abercrombie Alex G. Beatty sequences and multiplicative number theory. Acta Arithmetica, Tome 69 (1995) pp. 195-207. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav70i3p195bwm/
[00000] [1] S. D. Chowla, Some problems of Diophantine approximation I, Math. Z. 33 (1931), 544-563.
[00001] [2] W. J. Ellison (with M. Mendès France), Les Nombres Premiers, Hermann, 1975.
[00002] [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.
[00003] [4] D. R. Heath-Brown, The fourth power moment of the Riemann zeta function, Proc. London Math. Soc. (3) 38 (1979), 385-422.
[00004] [5] E. Hlawka, The Theory of Uniform Distribution, AB Academic Publishers, 1984.
[00005] [6] L.-K. Hua, Introduction to Number Theory, Springer, 1982.
[00006] [7] S. Lang, Introduction to Diophantine Approximation, Addison-Wesley, 1966.
[00007] [8] H. A. Porta and K. B. Stolarsky, Wythoff pairs as semigroup invariants, Adv. in Math. 85 (1991), 69-82
[00008] [9] S. Ramanujan, Some formulae in the analytic theory of numbers, Messenger of Math. 45 (1916), 81-84.
[00009] [10] J. D. Vaaler, Some extremal functions in Fourier analysis, Bull. Amer. Math. Soc. 12 (1985), 183-216.