Results 21 to 30 of about 1,085,814 (285)
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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From Oscillatory Integrals and Sublevel Sets to Polynomial Congruences and Character Sums [PDF]
, 2010 We present a slight extension of a classical lemma of Hensel and give various applications to polynomial congruences and character sums; in particular, we give a new proof of a classical result of Hua on complete exponential sums.
James Wright, Wright, James
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A note on two-term exponential sum and the reciprocal of the quartic Gauss sums
Advances in Difference Equations, 2021 The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of ...
Wenpeng Zhang, Xingxing Lv
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On the High-Power Mean of the Generalized Gauss Sums and Kloosterman Sums
Mathematics, 2019 The main aim of this paper is to use the properties of the trigonometric sums and character sums, and the number of the solutions of several symmetry congruence equations to research the computational problem of a certain sixth power mean of the ...
Xinyu Liu, Wenpeng Zhang
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A Bound for a Sum of Products of Two Characters and Its Application
Mathematics, 2023 Using the exponent pair method, a bound is derived for the sum ∑manb≤xχ1a(m)χ2b(n), where a,b are fixed positive integers, χ1,χ2 are primitive Dirichlet characters modulo q1 and q2, respectively, and χ1a,χ2b are not principal characters.
Teerapat Srichan
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The existence of $\protect \mathbb{F}_q$-primitive points on curves using freeness
Comptes Rendus. Mathématique, 2022 Let $\mathcal{C}_Q$ be the cyclic group of order $Q$, $n$ a divisor of $Q$ and $r$ a divisor of $Q/n$. We introduce the set of $(r,n)$-free elements of $\mathcal{C}_Q$ and derive a lower bound for the number of elements $\theta \in \mathbb{F}_q$ for ...
Cohen, Stephen D. +2 more
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Pacific Journal of Mathematics, 1986 Let \(N\) be a multiplicative character on the finite field \(GF(q)\), where \(q\) is a power of an odd prime \(p\). For \(x\in GF(q)\), \(Tr(x)\) denotes the trace of \(x\) from \(GF(q)\) to \(GF(p)\), and \(\zeta^ x\) denotes \(\exp(2\pi i Tr(x)/p)\). Define \(\bar N\) by \(N\bar N=1\).
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Character sums over generalized Lehmer numbers
Journal of Inequalities and Applications, 2016 Let q > 2 $q>2$ be an integer, n ⩾ 2 $n\geqslant2$ be a fixed integer with ( n , q ) = 1 $(n,q)=1$ , ψ be a non-principal Dirichlet character modq. An upper bound estimate for character sums of the form ∑ a ∈ C ( 1 , q ) ψ ( a ) $$\sum_{a\in\textit{C}(1 ...
Yuankui Ma +3 more
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Combinatoric topological string theories and group theory algorithms
Journal of High Energy Physics, 2022 A number of finite algorithms for constructing representation theoretic data from group multiplications in a finite group G have recently been shown to be related to amplitudes for combinatoric topological strings (G-CTST) based on Dijkgraaf-Witten ...
Sanjaye Ramgoolam, Eric Sharpe
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Character Sums with Division Polynomials [PDF]
Canadian Mathematical Bulletin, 2012 AbstractWe obtain nontrivial estimates of quadratic character sums of division polynomials Ψn(P), n = 1, 2, … , evaluated at a given point P on an elliptic curve over a finite field of q elements. Our bounds are nontrivial if the order of P is at least q1/2+∈ for some fixed ∈ > 0.
Shparlinski, Igor E +1 more
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