On the number of sums and products

• Autorzy: György Elekes
• Języki publikacji: EN

Kategorie tematyczne

• 11B75: Other combinatorial number theory
• 05D99: None of the above, but in this section
• 51H10: Topological linear incidence structures
• 51A99: None of the above, but in this section
• 52C10: Erd\H os problems and related topics of discrete geometry
• 11B25: Arithmetic progressions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 81
• Numer: 4
• Strony: 365-367

Daty

wydano

1997

otrzymano

1996-11-15

Twórcy

autor

György Elekes

• Department of Computer Science, Eötvös University, Múzeum krt. 6-8, H-1088 Budapest, Hungary

Bibliografia

• [1] J. Beck, On the lattice property of the plane and some problems of Dirac, Motzkin and Erdős, Combinatorica 3 (1983), 281-297.
• [2] K. Clarkson, H. Edelsbrunner, L. Guibas, M. Sharir and E. Welzl, Combinatorial complexity bounds for arrangements of curves and surfaces, Discrete Comput. Geom. 5 (1990), 99-106.
• [3] P. Erdős, On some of my favorite theorems, pages 97-132 of [6].
• [4] P. Erdős, L. Alpár and G. Halász (eds.), Studies in Pure Mathematics, To the Memory of Paul Turán, Akadémiai Kiadó-Birkhäuser, Budapest-Basel, 1983.
• [5] P. Erdős and E. Szemerédi, On sums and products of integers, pages 213-218 of [4].
• [6] D. Miklós, V. T. Sós and T. Szőnyi (eds.), Combinatorics, Paul Erdős is Eighty, János Bolyai Math. Soc., Budapest, 1996.
• [7] M. B. Nathanson, personal communication.
• [8] L. A. Székely, Crossing numbers and hard Erdős problems in Discrete Geometry, Combin. Probab. Comput., 1997, to appear.
• [9] E. Szemerédi and W. T. Trotter, Jr., Extremal problems in discrete geometry, Combinatorica 3 (1983), 381-392.