On the number of sums and products

György Elekes

Acta Arithmetica (1997)

  • Volume: 81, Issue: 4, page 365-367
  • ISSN: 0065-1036

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György Elekes. "On the number of sums and products." Acta Arithmetica 81.4 (1997): 365-367. <http://eudml.org/doc/207071>.

@article{GyörgyElekes1997,
author = {György Elekes},
journal = {Acta Arithmetica},
keywords = {upper bounds; number of products; number of sums of sets},
language = {eng},
number = {4},
pages = {365-367},
title = {On the number of sums and products},
url = {http://eudml.org/doc/207071},
volume = {81},
year = {1997},
}

TY - JOUR
AU - György Elekes
TI - On the number of sums and products
JO - Acta Arithmetica
PY - 1997
VL - 81
IS - 4
SP - 365
EP - 367
LA - eng
KW - upper bounds; number of products; number of sums of sets
UR - http://eudml.org/doc/207071
ER -

References

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  1. [1] J. Beck, On the lattice property of the plane and some problems of Dirac, Motzkin and Erdős, Combinatorica 3 (1983), 281-297. Zbl0533.52004
  2. [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. Zbl0704.51003
  3. [3] P. Erdős, On some of my favorite theorems, pages 97-132 of [6]. Zbl0853.11001
  4. [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. [5] P. Erdős and E. Szemerédi, On sums and products of integers, pages 213-218 of [4]. Zbl0526.10011
  6. [6] D. Miklós, V. T. Sós and T. Szőnyi (eds.), Combinatorics, Paul Erdős is Eighty, János Bolyai Math. Soc., Budapest, 1996. Zbl0911.05001
  7. [7] M. B. Nathanson, personal communication. 
  8. [8] L. A. Székely, Crossing numbers and hard Erdős problems in Discrete Geometry, Combin. Probab. Comput., 1997, to appear. Zbl0882.52007
  9. [9] E. Szemerédi and W. T. Trotter, Jr., Extremal problems in discrete geometry, Combinatorica 3 (1983), 381-392. Zbl0541.05012

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