On a variant of sum-product estimates and explicit exponential sum bounds in prime fields

Type: Article

Publication Date: 2008-11-17

Citations: 98

DOI: https://doi.org/10.1017/s0305004108001230

Locations

  • Mathematical Proceedings of the Cambridge Philosophical Society - View

Similar Works

Action Title Year Authors
+ PDF Chat Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order 2003 Jean Bourgain
Sergeĭ Konyagin
+ On a certain sum-product estimate in fields of prime order 2014 Bo Xue
+ On a Certain Sum-product Estimate in Fields of Prime Order 2014 Bo Bo
Qing Qing
Xue
+ New estimates for exponential sums over multiplicative subgroups and intervals in prime fields 2020 Daniel Di Benedetto
Moubariz Z. Garaev
V. C. Garcia
Diego González-Sánchez
Igor E. Shparlinski
Carlos Trujillo
+ New estimates for exponential sums over multiplicative subgroups and intervals in prime fields 2020 Daniel Di Benedetto
Moubariz Z. Garaev
V. C. Garcia
Diego González-Sánchez
Igor E. Shparlinski
Carlos A. Trujillo
+ MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS 2005 Jean Bourgain
+ ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER 2006 Jean Bourgain
A. A. Glibichuk
Sergeĭ Konyagin
+ PDF Chat Sum–product theorems and exponential sum bounds in residue classes for general modulus 2007 Jean Bourgain
+ PDF Chat A Gauss sum estimate in arbitrary finite fields 2006 Jean Bourgain
Mei-Chu Chang
+ REMARKS ON THE EXPONENTIAL SUM-PRODUCT PROBLEMS 2011 Junhuai Zhang
Yuan Yi
+ The sum-product estimate for large subsets of prime fields 2007 M. Z. Garaev
+ New estimates for exponential sums over multiplicative subgroups and intervals in prime fields 2020 Daniel Di Benedetto
Moubariz Z. Garaev
V. C. Garcia
Diego González-Sánchez
Igor E. Shparlinski
Carlos A. Trujillo
+ PDF Chat Slightly improved sum-product estimates in fields of prime order 2011 Liangpan Li
+ Slightly improved sum-product estimates in fields of prime order 2009 Liangpan Li
+ A note on expansion in prime fields 2018 Tuomas Orponen
Laura Venieri
+ Exponential sum estimates over a subgroup in an arbitrary finite field 2011 Jean Bourgain
A. Glibichuk
+ An improved sum-product inequality in fields of prime order 2010 Misha Rudnev
+ An improved sum-product inequality in fields of prime order 2010 Misha Rudnev
+ On exponential sums over multiplicative subgroups of medium size 2014 Ilya D. Shkredov
+ PDF Chat A NEW SUM–PRODUCT ESTIMATE IN PRIME FIELDS 2019 Changhao Chen
Bryce Kerr
Ali Mohammadi