Projects per year
We derive two new upper bounds on the double multiplicative character sum over subgroups and intervals. Rχ(a,g,I,N)=∑x=1 H|∑n=1 Nχ(x+agn)| where χ is a multiplicative character modulo a prime p, H and N are positive integers and a and g are integers with gcd. (ag, p) = 1. One bound is unconditional and based on a recent result of Cilleruelo and Garaev (2014), the other bound is conditional on the Generalised Riemann Hypothesis (GRH). These bounds complement and improve in some ranges on the recent results of Chang and Shparlinski (2014).
|Number of pages||13|
|Journal||Journal of Number Theory|
|Publication status||Published - 1 Oct 2016|
- Character sums
- Exponential function
FingerprintDive into the research topics of 'Bounds of double multiplicative character sums and gaps between residues of exponential functions'. Together they form a unique fingerprint.
- 1 Finished
New Applications of Additive Combinatorics in Number Theory and Graph Theory
Mans, B., Shparlinski, I., MQRES, M. & PhD Contribution (ARC), P. C.
1/01/14 → 31/12/17