Multiplicative energy of polynomial images of intervals modulo
Kyle Castro
University of California, Riverside, USAMei-Chu Chang
University of California, Riverside, USA
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Abstract
Given a smooth integer , we use existing upper bounds for character sums to find a lower bound for the size of a multiplicative subgroup of the integers modulo which contains the image of an interval of consecutive integers under a polynomial .
Cite this article
Kyle Castro, Mei-Chu Chang, Multiplicative energy of polynomial images of intervals modulo . Rev. Mat. Iberoam. 34 (2018), no. 3, pp. 1093–1101
DOI 10.4171/RMI/1017