Multiplicative energy of polynomial images of intervals modulo qq

  • Kyle Castro

    University of California, Riverside, USA
  • Mei-Chu Chang

    University of California, Riverside, USA
Multiplicative energy of polynomial images of intervals modulo $q$ cover
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Abstract

Given a smooth integer qq, we use existing upper bounds for character sums to find a lower bound for the size of a multiplicative subgroup of the integers modulo qq which contains the image of an interval of consecutive integers IZqI \subset \mathbb{Z}_q under a polynomial fZ[X]f \in \mathbb{Z}[X].

Cite this article

Kyle Castro, Mei-Chu Chang, Multiplicative energy of polynomial images of intervals modulo qq. Rev. Mat. Iberoam. 34 (2018), no. 3, pp. 1093–1101

DOI 10.4171/RMI/1017