Elementary proofs and the sums differences problem

• Autores: Nets Hawk Katz
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 57, Fasc. Extra 1, 2006 (Ejemplar dedicado a: Proceedings of the 7th International Conference on Harmonic Analysis and Partial Differential Equations), págs. 275-280
• Idioma: español
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we rule out the possibility that a certain method of proof in the sums di erences conjecture can settle the Kakeya Conjecture.

• Referencias bibliográficas
  • J. Bourgain, On the dimension of Kakeya sets and related maximal inequalities, Geom. Funct. Anal. 9 (1999), 256–282.
  • N.H. Katz and T. Tao, Bounds on arithmetic projections, and applications to the Kakeya conjecture, Math. Res. Lett. 6 (1999), 625–630.
  • N.H. Katz and T. Tao, New bounds for Kakeya problems, J. Anal. Math. 87 (2002), 231–263.