On the number of sums and products

Bulletin of the London Mathematical Society

Volumn 37, Issue 4, 2005, Pages 491-494

  Solymosi, József ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644616922     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: 10.1112/S0024609305004261     Document Type: Article

References (13)

1. J. BOURGAIN, K. KATZ and T. TAO, 'A sum-product estimate in finite fields, and applications', Geom. Funct. Anal. 14 (2004) 27-57.
2. M. CHANG, 'Factorization in generalized arithmetic progressions and applications to the Erdos-Szemerédi sum-product problems', Geom. Funct. Anal. 13 (2003) 720-736.
3. M.-C. CHANG, 'A sum-product estimate in algebraic division algebras', Israel J. Math., to appear.
4. GY. ELEKES, 'On the number of sums and products', Acta Arith., 81 (1997) 365-367.
5. GY. ELEKES, 'Sums versus products in number theory, algebra and Erdos geometry', Paul Erdos and his mathematics, II (Budapest, 1999), Bolyai Soc. Math. Stud. 11 (ed. G. Halász, János Bolyai Math. Soc., Budapest, 2002) 241-290.
6. GY. ELEKES and I. Z. RUZSA, 'Few sums, many products', Studia Sci. Math. Hungar. 40 (2003) 301-308.
7. P. ERDOS and E. SZEMERÉDI, 'On sums and products of integers', Studies in Pure Mathematics (Birkhäuser, Basel, 1983) 213-218.
8. K. FORD, 'Sums and products from a finite set of real numbers', Ramanujan J. 2 (1998) 59-66.
9. M. B. NATHANSON, 'On sums and products of integers', Proc. Amer. Math. Soc. 125 (1997) 9-16.
10. M. B. NATHANSON and G. TENENBAUM, 'Inverse theorems and the number of sums and products', Astérisque 258 (1999) 195-204.
11. J. SOLYMOSI, 'On sums and products of complex numbers', J. Theor. Nombres Bordeaux, to appear.
12. E. SZEMERÉDI and W. T. TROTTER, JR., 'Extremal problems in discrete geometry', Combinatorica 3 (1983) 381-392.
13. C. D. TÓTH, 'The Szemerédi-Trotter theorem in the complex plane', Math ArXiV, eprint:math/0305283, 2003.