Results 1 to 10 of about 67,818,891 (245)

Estimates for Character Sums [PDF]

Proceedings of the American Mathematical Society, 1993
We give a number of estimates for character sums \[ ∑
Friedlander, J., Iwaniec, H.
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Estimates for Mixed Character Sums [PDF]

Geometric and Functional Analysis, 2008
We give sharp estimates for certain families of exponential sums in several variables over finite fields.
Nicholas Katz
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Estimates for character sums with various convolutions [PDF]

Acta Arithmetica, 2017
17 ...
Brandon Hanson
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Estimates of character sums with exponential function [PDF]

Acta Arithmetica, 2001
Let \(n \geq 2\) and \(\lambda\) be integers satisfying \((n, \lambda)=1\) and \(\lambda\) belonging to the exponent \(d\) modulo \(n\). Given a primitive Dirichlet character \(\chi\) mod \(n\) the author proves the estimate \[ \left|\sum_{x=1}^X \chi(a \lambda^x +b) \right|< \sqrt{n} \left( \frac{2}{\pi} \log n + \frac{7}{5} \right).
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Estimating Additive Character Sums for Fuchsian Groups [PDF]

The Ramanujan Journal, 2003
Some forty years ago, in connection with the (Eichler) cohomology of automorphic forms, \textit{M. Eichler} [Acta Arith. 11, 169--180 (1965; Zbl 0148.32503)] introduced (what later came to be called) the ``generalized Poincaré (in particular, Eistenstein) series''.
Goldfeld, Dorian, O'Sullivan, Cormac
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An estimate for character sums [PDF]

Journal of the American Mathematical Society, 1989
Let \(F\) be a finite field and \(E=F(x)\) an extension of degree \(n\). Let \(\chi\) be a nonprincipal character of \(E\). The author deduces from Weil's theorem that \[ S=| \sum_{t\in F}\chi (t-x)| \leq (n-1)\sqrt{\#F}, \] and a generalization of this inequality. This improves the estimate (for \(F\) a prime-field) \(S=0(\#F^{1-(n+1)})\) obtained by \
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Character sums estimates and an application to a problem of Balog

Indiana University Mathematics Journal, 2022
We prove new bounds for sums of multiplicative characters over sums of set with small doubling and applying this result we break the square--root barrier in a problem of Balog concerning products of differences in a field of prime order.
Schoen, Tomasz, Shkredov, Ilya
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Exponential sums with reducible polynomials

Discrete Analysis, 2019
Exponential sums with reducible polynomials, Discrete Analysis 2019:15, 31 pp. A sequence $(a_n)$ of real numbers in the interval $[0,1]$ is said to be _equidistributed_ if for every subinterval $[a,b]$ of $[0,1]$, the proportion of the $a_n$ that live
Cécile Dartyge, Greg Martin
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A character-sum estimate and applications [PDF]

Acta Arithmetica, 1998
Let \(\chi\) be a non-principal Dirichlet character mod \(n\), and define \(S_N(H,\chi)=\sum_ ...
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Some estimate of character sums and its applications [PDF]

Journal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Jianghua, Han, Di
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