Translational tilings of the integers with long periods

Electronic Journal of Combinatorics

Volumn 10, Issue 1 R, 2003, Pages

  Kolountzakis, Mihail N ^a  

^a UNIVERSITY OF CRETE   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442630361     PISSN: 10778926     EISSN: None     Source Type: Journal    
DOI: 10.37236/1715     Document Type: Article

References (8)

1. N.G. de Bruijn, One the factorization of finite abelian groups, Nederl. Akad. Wetensch. Proc. Ser. A, 56 (Indagationes Math. 15) (1953), pp. 258-264.
2. E.M. Coven and A. Meyerowitz, Tiling the integers with translates of one finite set, J. Algebra 212 (1999), no. 1, pp. 161-174
3. B. Grünbaum and G.C. Shephard, Tilings and patterns. An introduction. A Series of Books in the Mathematical Sciences. W.H. Freeman and Company, New York, 1989.
4. G.H. Hardy and E.M. Wright, An introduction to the theory of numbers, Fifth Edition, Oxford Univ. Press, 1978.
5. S. Konyagin and I. Łaba, Spectra of certain types of polynomials and tiling of integers with translates of finite sets, preprint at arXiv math.NT/0209204 (2002).
6. C.T. Long, Addition theorems for sets of integers, Pacific J. Math., 23 (1967), 1, pp. 107-112.
7. D.J. Newman, Tesselations of integers, J. Number Th. 9 (1977), pp. 107-111.
8. I. Ruzsa, Appendix in "R. Tijdeman, Periodicity and almost-periodicity, preprint, August 2002".