Manuscript Topics

In the study of number theory, especially analytic number theory, two very important research tools are the character sums and trigonometric sums. These contents occupy a very important position not only in the study of number theory, but also in many classical number theory problems which are closely related to them. Therefore, it is necessary to conduct in-depth and systematic research in these and related fields. This special issue will focus on the estimations for various exponential sums, character sums and their applications. This project will make substantial progress or completely solve some analytic number theory or related additive number theory problems. The aim of this special issue is to obtain some new progress for the various character sums of the polynomials and trigonometric sums, and give some exact calculating formulae or sharp upper bound estimate for the hybrid power mean involving these sums.

Potential topics include but are not limited to the followings:
• Character sums and their various properties.
• The estimation of the trigonometric sums and exponential sums.
• The properties of Gauss and Kloosterman sums, and their applications.
• The properties of Jacobsthal and Brewer sums, and their applications.
• Estimates on character sums of polynomial and their applications.
• Character sums and exponential sums over arbitrary intervals.
• The hybrid power mean involving exponential sums and character sums.

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