Exponential sum estimates over subgroups of ℤq*, q arbitrary

Journal d'Analyse Mathematique

Volumn 97, Issue , 2005, Pages 317-355

  Bourgain, J ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644955240     PISSN: 00217670     EISSN: 15658538     Source Type: Journal    
DOI: 10.1007/BF02807410     Document Type: Article

References (5)

1. [B] J. Bourgain, Mordell's exponential sum estimate revisited, J. Amer. Math. Soc. 18 (2005), 477-499.
2. q*, where q is composite with few prime factors, Geom. Funct. Anal., to appear.
3. [B-G-K] J. Bourgain, A. Glibichuk and S. Konyagin, Estimates for the number of sums and products and for exponential sums over subgroups infields of prime order, Proc. London Math. Soc., to appear.
4. [B-K-T] J. Bourgain, N. Katz and T. Tao, A sum-product estimate in finite fields, and applications, Geom. Funct. Anal. 14 (2004), 27-57.
5. [Na] M. Nathanson, Additive Number Theory, Springer-Verlag, New York, 1996.