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A lower bound estimate for complete sums of characters of polynomials and rational functions
Acta Mathematica Sinica, 1993The paper deals with complete Dirichlet character sums of type \[ S_ k(\chi,q)=\sum^ q_{\ell=1}{}' \chi(a\ell^ k+b) \qquad\text{or}\qquad T_ k(\chi,q)=\sum^ q_{\ell=1}{}' \chi((a\ell^ k+b)/(c\ell^ k+d)), \] where \(\chi\) denotes a primitive character \(\bmod q\).
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Moscow University Mathematics Bulletin, 2008
Estimates of short sums of Dirichlet characters over shifted prime numbers are obtained in the case when the modulus of a character is a power of a fixed prime number.
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Estimates of short sums of Dirichlet characters over shifted prime numbers are obtained in the case when the modulus of a character is a power of a fixed prime number.
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A new elementary estimation for the sum of real characters
Commentationes Mathematicae, 2017Bhaskaran, M., Schinzel, Andrzej
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On the Character Sum of Polynomials and the Two-term Exponential Sums
Acta Mathematica Sinica, English Series, 2020Wen Peng Zhang
exaly
Estimation of Character Sums Modulo a Small Power of a Prime
Journal of the London Mathematical Society, 1984openaire +2 more sources
Character Sums in Short Intervals and the Multiplication Table Modulo a Large Prime
Monatshefte Fur Mathematik, 2006M Z Garaev
exaly