Manuscript Topics

In the study of elementary number theory, there are many unsolved classical problems, they involve the primitive roots, Legendre symbol, Dirichlet’s divisor problem, some special sequences, and so on. Any substantial progress in the study of these classical problems will certainly play an important role in promoting the development of number theory. Therefore, there is a need for further in-depth study of these and related problems. This special issue will focus on the upper bound estimate of the least quadratic non-residue, the least primitive roots, the estimate for various exponential sums, character sums and their applications.

The aim of this special issue is to obtain some new progress for the distribution properties of the values of the Legendre symbol, the upper bound estimate of the least primitive roots, the estimate of the various character sums and their applications.

Potential topics include but are not limited to the followings:
_ The various properties of the Legendre symbol
_ The estimation of the least primitive roots
_ Dirichlet's divisor problems
_ The various estimates on character sums of polynomial and their applications
_ The hybrid power mean involving exponential sums and character sums
_ Some special sequences and their important properties

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