- journal article metadata
European Mathematical Society Publishing House
2018-08-30 23:30:01
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
34
2018
3
Multiplicative energy of polynomial images of intervals modulo $q$
Kyle
Castro
University of California, Riverside, USA
Mei-Chu
Chang
University of California, Riverside, USA
Character sums, polynomial images, subgroups of finite fields
Given a smooth integer $q$, we use existing upper bounds for character sums to find a lower bound for the size of a multiplicative subgroup of the integers modulo $q$ which contains the image of an interval of consecutive integers $I \subset \mathbb{Z}_q$ under a polynomial $f \in \mathbb{Z}[X]$.
Number theory
1093
1101
10.4171/RMI/1017
http://www.ems-ph.org/doi/10.4171/RMI/1017
8
27
2018