Results 191 to 200 of about 2,774 (214)

Estimation of Character Sums Modulo a Power of a Prime

Proceedings of the London Mathematical Society, 1986
Let \(\chi\) be a primitive character modulo \(k\), and let \[ S(N,H)=\sum_{n=N+1}^{N+H}\chi(n). \] The author's celebrated character sum estimate [ibid. 13, 524--536 (1963; Zbl 0123.04404)] states that the bound \[ S(N,H)\ll_{r,\varepsilon} H^{1-(1/r)} k^{(r+1)/4r^2+\varepsilon} \tag{*} \] holds uniformly in \(N\) and \(H\) for any \(\varepsilon >0 ...
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$L^1$-Norm estimates of character sums defined by a Sidon set in the dual of a compact Kac algebra

Journal of Operator Theory, 2013
Tobias Blendek, Johannes Michalicek
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A lower bound estimate for complete sums of characters of polynomials and rational functions

Acta Mathematica Sinica, 1993
The 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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Application of Postnikov’s formula for estimation of short sums of Dirichlet characters over shifted prime numbers

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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The Mean Values of Character Sums and Their Applications

Mathematics, 2021
Jiafan Zhang
exaly  

Three conjectures about character sums

Mathematische Zeitschrift, 2023
Andrew Granville, Alexander P Mangerel
exaly  

Character sums over Galois rings and primitive polynomials over finite fields

Finite Fields and Their Applications, 2004
Han Wenbao
exaly  

On the Character Sum of Polynomials and the Two-term Exponential Sums

Acta Mathematica Sinica, English Series, 2020
Wen Peng Zhang, Zhang Wen Peng
exaly  

Character sums with exponential functions

Mathematika, 2000
John B Friedlander, Igor E Shparlinski
exaly  

A new elementary estimation for the sum of real characters

Commentationes Mathematicae, 2017
Bhaskaran, M., Schinzel, Andrzej
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