Results 31 to 40 of about 6,655 (117)
A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums
AIMS Mathematics, 2022 The main purpose of this paper is to study the calculating problem of one kind hybrid power mean involving the cubic Gauss sums and Kloosterman sums, and using the elementary methods, analytic methods and the properties of the classical Gauss sums to ...
Xiaoxue Li, Wenpeng Zhang
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Matrix Factorizations and Homological Mirror Symmetry on the Torus [PDF]
, 2007 We consider matrix factorizations and homological mirror symmetry on the torus T^2 using a Landau-Ginzburg description. We identify the basic matrix factorizations of the Landau-Ginzburg superpotential and compute the full spectrum, taking into account ...
A. Kapustin +32 more
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Character Sums, Gaussian Hypergeometric Series, and a Family of Hyperelliptic Curves
, 2015 We study the character sums \[\phi_{(m,n)}(a,b)=\sum_{x\in\mathbb{F}_q}\phi\left(x(x^{m}+a)(x^{n}+b)\right),\textrm{ and, } \psi_{(m,n)}(a,b)=\sum_{x\in\mathbb{F}_q}\phi\left((x^{m}+a)(x^{n}+b)\right)\] where $\phi$ is the quadratic character defined ...
Sadek, Mohammad
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Moments of central values of cubic Hecke $L$-functions of $\mathbb{Q}(i)$
, 2020 In this paper, we study moments of central values of cubic Hecke $L$-functions in $\mathbb{Q}(i)$, and establish quantitative non-vanishing result for those values.Comment: 15 ...
Gao, Peng, Zhao, Liangyi
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The generalized quadratic Gauss sums and its sixth power mean
AIMS Mathematics, 2021 In this article, we using elementary methods, the number of the solutions of some congruence equations and the properties of the Legendre's symbol to study the computational problem of the sixth power mean of a certain generalized quadratic Gauss sums ...
Xingxing Lv, Wenpeng Zhang
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First Moment of Hecke $L$-functions with quartic characters at the central point
, 2019 In this paper, we study the first moment of central values of Hecke $L$-functions associated with quartic characters.Comment: 11 ...
Gao, Peng, Zhao, Liangyi
core +1 more source
Complete Solving for Explicit Evaluation of Gauss Sums in the Index 2 Case
, 2010 Let $p$ be a prime number, $q=p^f$ for some positive integer $f$, $N$ be a positive integer such that $\gcd(N,p)=1$, and let $\k$ be a primitive multiplicative character of order $N$ over finite field $\fq$.
B. C. Berndt +18 more
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On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums
, 2021 In this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the ...
Shaofan Cao, Tingting Wang
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Applied Computational Intelligence and Soft Computing, Volume 2026, Issue 1, 2026.A research gap exists concerning how different chaotic mappings influence the applicability of metaheuristic algorithms, along with inherent limitations of the traditional artificial hummingbird algorithm (AHA). Specifically, blind spots in population coverage and vulnerability to local optima stemming from random initialization.
Wenli Ma +3 more
wiley +1 more source
Reduced Integration‐Based Stabilization for Virtual Elements
PAMM, Volume 25, Issue 4, December 2025.ABSTRACT Stabilization techniques in combination with reduced integration are often employed in numerical methods to address problems of locking while reducing computational costs. In finite elements, concepts such as enhanced assumed strain (EAS) methods are usually employed in combination with stabilization techniques to tackle certain locking ...
Njomza Pacolli +4 more
wiley +1 more source