Advanced search
Publication Cover
Experimental Mathematics Volume 16, 2007 - Issue 2
Submit an article Journal homepage
34
Views
10
CrossRef citations to date
0
Altmetric
Original Article

The Symmetric Subset Problem in Continuous Ramsey Theory

Greg Martin Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
&
Kevin O'Bryant The City University of New York, College of Staten Island, 2800 Victory Blvd, Staten Island, NY 10314
Pages 145-165 | Published online: 30 Jan 2011

  • Noga Alon and Joel H. Spencer. The Probabilistic Method, second edition. New York: Wiley- Interscience, 2000.
  • W. Beckner. "Inequalities in Fourier Analysis." Ann. of Math. 102 (1975), 159–182.
  • T. Banakh, O. Verbitsky, and Ya. Vorobets. "A Ramsey Treatment of Symmetry." Electron. J. Combin. 7:1 (2000), Research Paper 52, 25 pp.
  • Fan Chung, Paul Erdős, and Ronald Graham. "On Sparse Sets Hitting Linear Forms." In Number Theory for the Millennium, I, pp. 257–272. Natick, MA: A K Peters, 2002.
  • J. Cilleruelo, I. Ruzsa, and C. Trujillo. "Upper and Lower Bounds for Finite Bh [g] Sequences, g > 1." J. Number Theory 97:1 (2002), 26–34.
  • Gerald B. Folland. Real Analysis. New York: John Wiley, 1984.
  • Ben Green. "The Number of Squares and Bh [g] Sets." Acta Arithmetica 100:4 (2001), 365–390.
  • R. L. Graham and N. J. A. Sloane. "On Additive Bases and Harmonious Graphs." SIAM J. Algebraic Discrete Methods 1:4 (1980), 382–404.
  • Richard K. Guy. Unsolved Problems in Number Theory, second edition. New York: Springer-Verlag, 1994.
  • G. H. Hardy, J. E. Littlewood, and G. Pólya. Inequalities. Cambridge: Cambridge University Press, 1988.
  • Greg Martin and Kevin O'Bryant. "Constructions of Generalized Sidon Sets." J. Comb. Thy. Ser. A 113:4 (2006), 591–607.
  • Greg Martin and Kevin O'Bryant. "Upper Bounds for Generalized Sidon Sets." In preparation, 2007.
  • Kevin O'Bryant. "A Complete Annotated Bibliography of Work Related to Sidon Sequences." Elec. J. Combin. Article DS11, 2004.
  • A. Schinzel and W. M. Schmidt. "Comparison of L 1- and L∞-Norms of Squares of Polynomials." Acta Arithmetica 104:3 (2002), 283–296.
  • S. Świerczkowski. "On the Intersection of a Linear Set with the Translation of Its Complement." Colloq. Math. 5 (1958), 185–197.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.