Advanced search
Publication Cover
Experimental Mathematics Volume 27, 2018 - Issue 2
Submit an article Journal homepage
90
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

A Numerical Note on Upper Bounds for B2[g] Sets

Laurent HabsiegerUniversité de Lyon, Institut Camille Jordan CNRS UMR 5208, Université Claude Bernard Lyon 1, Villeurbanne, FranceCorrespondence[email protected]
View further author information
&
Alain PlagneCentre de Mathématiques Laurent Schwartz, École polytechnique, CNRS, Université Paris-Saclay, Palaiseau, FranceCorrespondence[email protected]
View further author information
Pages 208-214 | Published online: 10 Nov 2016

References

  • [Bose 42] R. C. Bose. “An Affine Analogue of Singer’s Theorem.” J. Indian Math. Soc. (N.S.) 6 (1942), 1–15.
  • [Chowla 44] S. Chowla. “Solution of a Problem of Erdős and Turán in Additive Number Theory.” Proc. Nat. Acad. Sci. India Sect. A. 14 (1944), 1–2.
  • [Cilleruelo et al. 02] J. Cilleruelo, I. Z. Ruzsa, and C. Trujillo. “Upper and Lower Bounds for Finite Bh[g] Sequences.” J. Number Theory 97 (2002), 26–34.
  • [Erdős and Turán 41] P. Erdős and P. Turán. “On a Problem of Sidon in Additive Number Theory and on Some Related Problems.” J. London Math. Soc. 16 (1941), 212–215.
  • [Green 01] B. Green. “The Number of Squares and Bh[g] Sets.” Acta Arith. 100 (2001), 365–390.
  • [Habsieger 14] L. Habsieger. “On Finite Additive 2-bases.” Trans. Am. Math. Soc. 366 (2014), 6629–6646.
  • [Habsieger and Plagne 02] L. Habsieger and A. Plagne. “Ensembles B2[2] : l’étau se resserre.” Integers 2 (2002), A2.
  • [Habsieger and Plagne 16] L. Habsieger and A. Plagne. Available online http://www.cmls.polytechnique.fr/perso/plagne/B2g-num (2016)
  • [Martin and O’Bryant 06] G. Martin and K. O’Bryant. “Constructions of Generalized Sidon Sets.” J. Combin. Theory Ser. A 113 (2006), 591–607.
  • [Martin and O'Bryant 10] G. Martin and K. O'Bryant. “The supremum of autoconvolutions, with applications to additive number theory.” Illinois J. Math. 53:1 (2010), 219–236.
  • [Plagne 01] A. Plagne. “Recent Progress on Bh[g] Sets.” Congr. Num. 153 (2001), 49–64.
  • [Sidon 32] S. Sidon. “Ein Satz über trigonometrische Polynome und seine Anwendungen in der Theorie der Fourier-Reihen.” Math. Annalen 106 (1932), 536–539.
  • [Singer 38] J. Singer. “A Theorem in Finite Projective Geometry and Some Applications to Number Theory.” Trans. Am. Math. Soc. 43 (1938), 377–385.
  • [Yu 07] Yu. “An Upper Bound for B2[g] Sets.” J. Number Theory 122 (2007), 211–220.
  • [Yu 08] Yu. “A Note on B2[g] Sets.” Integers 8 (2008), A58.

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.