The Littlewood-Gowers problem

Journal d'Analyse Mathematique

Volumn 101, Issue 1, 2007, Pages 123-162

  Sanders, T ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58449126619     PISSN: 00217670     EISSN: 15658538     Source Type: Journal    
DOI: 10.1007/s11854-007-0005-1     Document Type: Article

References (15)

1. J. Bourgain 1999 On triples in arithmetic progression Geom. Funct. Anal. 9 968 984
2. M.-C. Chang 2002 A polynomial bound in Freiman's theorem Duke Math. J. 113 399 419
3. B. Chazelle, The Discrepancy Method. Randomness and Complexity, Cambridge University Press, Cambridge, 2000.
4. S. W. Drury, Unions of sets of interpolation, in Conference on Harmonic Analysis, (Univ. Maryland, College Park, Md., 1971), Lecture Notes in Math. 266, Springer, Berlin, 1972, pp. 23-33.
5. B.J. Green, Spectral structure of sets of integers, in Fourier Analysis and Convexity, Birkhäuser Boston, Boston, MA, 2004, pp. 83-96.
6. B.J. Green, Finite field models in additive combinatorics, in Surveys in Combinatorics 2005, Cambridge Univ. Press, Cambridge, 2005, pp. 1-27.
7. B.J. Green and S. Konyagin, On the Littlewood problem modulo a prime, Canad. J. Math., to appear.
8. 3-norm, Proc. Edinb. Math. Soc., to appear.
9. G. Halász, On Roth's method in the theory of irregularities of point distribtutions, in Recent Progress in Analytic Number Theory (Durham, 1979), Vol. 2, Academic Press, London-New York, 1981, pp. 79-94.
10. J.M. López and K.A. Ross, Sidon Sets, Marcel Dekker, New York, 1975.
11. J.-F. Méla 1982 Mesures ε-idempotentes de norme bornée Studia Math. 72 131 149
12. D. Rider 1966 Gap series on groups and spheres Canad. J. Math. 18 389 398
13. W. Rudin, Fourier Analysis on Groups, Interscience Publishers, New York-London, 1962.
14. 1-norm of the Fourier transform on compact vector spaces, Bull. London Math. Soc., to appear.
15. T. Sanders, Additive structures in sumsets, preprint.