Results 11 to 20 of about 1,085,814 (285)
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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A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums [PDF]
Journal of Applied Mathematics, 2014 The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study the hybrid mean value problem involving the two-term exponential sums and two-term character sums and give an interesting asymptotic formula
Liu Miaohua, Li Xiaoxue
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On character sums and codes [PDF]
Discrete Mathematics, 1985 Coding-theoretical methods are used to obtain improved lower bounds for the function \(S(d,r,q)=\max | \sum_{\alpha \in F}\chi (f(\alpha))|\) where \(\chi\) is a multiplicative character of order d over a finite field F of q elements and the maximum is taken over all polynomials f(x)\(\in F[x]\) which are not d-th powers and have exactly r distinct ...
Tarnanen, Hannu
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Stratification for Multiplicative Character Sums [PDF]
International Mathematics Research Notices, 2018 AbstractWe prove a stratification result for certain families of n-dimensional (complete algebraic) multiplicative character sums. The character sums we consider are sums of products of r multiplicative characters evaluated at rational functions, and the families (with nr parameters) are obtained by allowing each of the r rational functions to be ...
Junyan Xu
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A CLASS OF INCOMPLETE CHARACTER SUMS [PDF]
The Quarterly Journal of Mathematics, 2014 Jos\'e Alves Oliveira and Lucas Reis point out an error in the old version of Theorem 4.6. The assumption that Tr(g) is not of the form r^q-r is corrected to that Tr(g) is not of the form r^p ...
Fu, L, Wan, D
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The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums
MathematicsIn this paper, we consider the fourth hybrid power mean involving two-term exponential sums and third-order character sum modulo p, a topic of significant importance in analytic number theory.
Guohui Chen, Tingting Du
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Three Imprimitive Character Sums [PDF]
, 2021 See the abstract in the attached pdf.
Isaacson, Brad
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A Note on Sums of Powers [PDF]
, 2007 We improve a result of Bennett concerning certain sequences involving sums of powers of positive ...
Gao, Peng
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Sums of Powers and Majorization [PDF]
, 2007 We study certain sequences involving sums of powers of positive integers and in connection with this, we give examples to show that power majorization does not imply ...
Gao, Peng
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Character sums and congruences with 𝑛! [PDF]
Transactions of the American Mathematical Society, 2004 We estimate character sums with n ! n! ,
Garaev, Moubariz Z. +2 more
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