Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-20T14:27:20.012Z Has data issue: false hasContentIssue false
  • English
  • Français

Variations on a Paper of Erdős and Heilbronn

Published online by Cambridge University Press:  20 November 2018

P. D. T. A. Elliott
P. D. T. A. Elliott*
Affiliation:
e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It is shown that an old direct argument of Erdős and Heilbronn may be elaborated to yield a result of the current inverse type.

Keywords

11L0711P70
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 4 , 01 December 2010 , pp. 654 - 660
Copyright
Copyright © Canadian Mathematical Society 2010

References

[1] Davenport, H.. On the addition of residue classes. Journ. London Math. Soc. 10(1935), 30–32.Google Scholar
[2] Erdős, P. and Heilbronn, H., On the addition of residue classes mod p. Acta Arith. 9(1964), 149–159.Google Scholar
[3] Halász, G., Estimates for the concentration function of combinatorial number theory and probability. Period. Math. Hungar. 8(1977), 3–4, 197–211. doi:10.1007/BF02018403Google Scholar
[4] Olson, J. E., An addition theorem modulo p. J. Comb. Th. 5(1968), 45–52. doi:10.1016/S0021-9800(68)80027-4Google Scholar
[5] Sárközy, A. and Szemerédi, E., Über ein Problem von Erdős and Moser. Acta Arith. 11(1965), 205–208.Google Scholar