Multilinear Exponential Sums in Prime Fields Under Optimal Entropy Condition on the Sources

By Jean Bourgain. 2009

107 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/070e4a38b379b72186d21d3f271f344157b17bdd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Ilya D. Shkredov
2. Jean Bourgain
3. P. P. Varj'u
4. Peter Sarnak
5. Harald Andrés Helfgott
6. Alex Kontorovich
7. Alex Gamburd
8. Moubariz Z. Garaev

In Discrete Mathematics and Combinatorics

1. Ilya D. Shkredov
2. Jean Bourgain
3. Tom Sanders
4. P. P. Varj'u
5. M. Rudnev
6. Moubariz Z. Garaev
7. Harald Andrés Helfgott
8. Sergei V. Konyagin

Citations in the corpus

• On asymptotic formulae in some sum–product questions (2018, background): “Besides some additional conditions on A and k are required in [6].”
• The discretized sum-product and projection theorems (2010, background): “Theorem 1 permits one also to establish estimates on multiplicative convolutions of measures on the real line that in some sense are a counterpart to the multilinear exponential sum estimates in finite fields derived in [BGK] and [ B3 ] as a consequence of the sum-product theorem in Fp.”