Published May 19, 2000
| Version v1
Journal article
Open
On the distribution of exponential sums
Authors/Creators
- 1. Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia
- 2. Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel
Description
We discuss three problems of the following kind: given a set $A \subseteq \mathbb{F}_p$ of $n := |A|$ residues modulo a prime $p$, how are the absolute values $|S_A(z)|$ of the corresponding exponential sums
$$S_A(z)=\sum_{a\in A} e^{2\pi i \frac{az}{p}; \,\, z\in \mathbb{F}_p$$
distributed in the interval $[0,n]$?