Results 181 to 190 of about 2,774 (214)

Estimates for character sums in number fields

Israel Journal of Mathematics, 1987
Let \(\rho_ 1,...,\rho_ r\) be (continuous) complex finite-dimensional representations of the Weil group of an algebraic number field K of finite degree over the rationals. Let \[ L(s,\rho_ j)=\sum_{{\mathfrak a}}c({\mathfrak a},\rho_ j)(N{\mathfrak a})^{-s},\quad 1\leq j\leq r, \] be the Artin-Weil L-function associated to \(\rho_ j\).
B. Z. Moroz
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A METHOD FOR ESTIMATING DOUBLE SUMS WITH REAL QUADRATIC CHARACTER, AND APPLICATIONS

Mathematics of the USSR-Izvestiya, 1971
In this paper we examine a general method for estimating double sums with real quadratic character and give some applications to the theory of quadratic forms and the theory of divisors of quadratic fields.
A. F. Lavrik
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An Estimate of Incomplete Mixed Character Sums

, 2010
Dedicated to Endre Szemeredi for his 70th birthday. In this note we consider incomplete mixed character sums over a finite field \( \mathbb{F}_{p^n } \) of the form \( \sum\nolimits_{x \in B_H } {\psi \left( {f\left( x \right)} \right)\chi \left( x \right)} \) where is an additive character, \( f\left( x \right) \in \mathbb{F}_{p^n } \) a polynomial, x
Mei-Chu Chang
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An estimate of incomplete multiplicative character sum of polynomials

Discrete Mathematics and Applications, 1992
See the review in Zbl 0712.11051.
Stepanov, S. A., Shparlinskij, I. E.
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ESTIMATES OF CHARACTER SUMS

Mathematics of the USSR-Izvestiya, 1970
A A Karacuba
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Two Applications of an Incomplete Additive Character Sum to Estimating Nonlinearity of Boolean Functions

, 2011
In recent years, several classes of Boolean functions with good cryptographic properties have been constructed by using univariate (or bivariate) polynomial representation of Boolean functions over finite fields. The estimation of an incomplete additive character sum plays an important role in analyzing the nonlinearity of these functions.
Yusong Du, Fangguo Zhang
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Numerically explicit estimates for character sums

, 2015
Enrique Treviño
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Character Sum Estimates and Idèle Class Characters

, 1996
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Estimates of character sums arising from finite upper half planes

, 1996
Wen-Ching Winnie Li
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Estimation of a Character Sum

Bulletin of the London Mathematical Society, 1988
The author estimates the sum \[ A=\sum_ ...
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