Results 1 to 10 of about 324,501 (284)
One kind hybrid character sums and their upper bound estimates [PDF]
Journal of Inequalities and Applications, 2018 The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain several sharp upper bound estimates for them. As
Jianhong Zhao, Xiao Wang
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Character sums with division polynomials [PDF]
Canadian Mathematical Bulletin, 2011 We obtain nontrivial estimates of quadratic character sums of division polynomials $\Psi_n(P)$, $n=1,2, ...$, evaluated at a given point $P$ on an elliptic curve over a finite field of $q$ elements.
Igor E. Shparlinski +5 more
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Journal of the American Mathematical Society, 1999 Assuming the Generalized Riemann Hypothesis, the authors study when a character sum over all n infinity and q -> infinity (q is the size of the finite field).Comment: Abstract added in ...
Granville, Andrew, Soundararajan, K.
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Character Sums and Congruences with n! [PDF]
Transactions of the American Mathematical Society, 2004 We estimate character sums with n!, on average, and individually. These bounds are used to derive new results about various congruences modulo a prime p and obtain new information about the spacings between quadratic nonresidues modulo p.
Garaev, Moubariz Z. +2 more
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Burgess's Bounds for Character Sums [PDF]
, 2012 We prove that Burgess's bound gives an estimate not just for a single character sum, but for a mean value of many such sums.Comment: Minor changes and addition of reference to Gallagher ...
Heath-Brown, Roger
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On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums
Journal of Mathematics, 2021 The main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to ...
Xiaoling Xu
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Estimates for Character Sums [PDF]
Proceedings of the American Mathematical Society, 1993 We give a number of estimates for character sums \[ ∑ a ∈ A ∑ b ∈ B χ ( a +
Friedlander, J., Iwaniec, H.
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One Kind New Hybrid Power Mean and Its Computational Formulae
Journal of Mathematics, 2022 The main purpose of this study is to use the elementary and analytic methods and the properties of the classical Gauss sums to study the calculation problems of one kind of hybrid power mean involving the quadratic character sums and the two-term ...
Li Wang, Xuexia Wang
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ON SOME MULTIPLE CHARACTER SUMS [PDF]
Mathematika, 2017 We improve a recent result of B. Hanson (2015) on multiplicative character sums with expressions of the type $a + b +cd$ and variables $a,b,c,d$ from four distinct sets of a finite field. We also consider similar sums with $a + b(c+d)$. These bounds rely on some recent advances in additive combinatorics.
Shkredov, ID, Shparlinski, IE
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On a Certain Quadratic Character Sums of Ternary Symmetry Polynomials modp
Journal of Mathematics, 2021 In this article, we are using the elementary methods and the properties of the classical Gauss sums to study the calculating problem of a certain quadratic character sums of a ternary symmetry polynomials modulo p and obtain some interesting identities ...
Yuanyuan Meng
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