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Kloosterman sums with multiplicative coefficients [PDF]
Science China Mathematics, 2015 Let $f(n)$ be a multiplicative function satisfying $|f(n)|\leq 1$, $q$ $(\leq N^2)$ be a positive integer and $a$ be an integer with $(a,\,q)=1$. In this paper, we shall prove that $$\sum_{\substack{n\leq N\\ (n,\,q)=1}}f(n)e({a\bar{n}\over q})\ll\sqrt{τ(q)\over q}N\log\log(6N)+q^{{1\over 4}+{ε\over 2}}N^{1\over 2}(\log(6N))^{1\over 2}+{N\over \sqrt ...
Gong, Ke, Jia, Chaohua
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Norm Kloosterman sums over Z[i] [PDF]
, 2011 n-dimensional norm Kloosterman sums over the ring of the Gaussian numbers investigate.
Savastru, O., Varbanets, S.
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Journal of MathematicsThe primary contribution of this paper is to research one kind special Kloosterman sums using analytic method. We translate one kind fourth power mean of the Kloosterman sums into the character sums of one kind polynomials. It is possible to construct an
Shushu Ning, Xuexia Wang
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Medicinal Research Reviews, EarlyView.ABSTRACT Natural products (NPs) have historically yielded numerous therapeutic agents, yet their integration into modern drug discovery has been constrained by chemical complexity, low abundance, laborious dereplication, and limited target annotation.
Antonio Lavecchia
wiley +1 more source
One special kind of Kloosterman sum and its fourth-power mean
Open MathematicsThis article aims to investigate the calculation problem of the fourth-power mean of the specific Kloosterman sums by utilizing analytic methods and the properties of classical Gauss sums.
Zhang Wenpeng, Wang Li, Liu Xiaoge
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Neurourology and Urodynamics, EarlyView.ABSTRACT Aims This study aimed to examine clinical practice variation between urologists and paediatricians managing children with daytime urinary incontinence (DUI) to identify unwarranted variation and improve care pathways. Methods A single‐centre retrospective database study was conducted, including children aged 4–18 years referred for DUI between
J. Marleen Linde +5 more
wiley +1 more source
Trilinear forms with double Kloosterman sums
, 2018 We obtain several estimates for trilinear form with double Kloosterman sums. In particular, these bounds show the existence of nontrivial cancellations between such sums.
Igor E. Shparlinski
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The hybrid power mean involving the Kloosterman sums and Dedekind sums
Open MathematicsKloosterman sums and Dedekind sums are two important sums in analytic number theory, the study of their various properties is a very interesting subject.
Li Ruiyang, Chen Long
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Regulating Lipid Metabolism in Cancer: The Therapeutic Potential of Traditional Chinese Medicine
Phytotherapy Research, EarlyView.By regulating the reprogramming of lipid metabolism in tumor cells, TCM provides a novel strategy for antitumor therapy with reduced toxicity and enhanced efficacy. ABSTRACT Lipid metabolic reprogramming is a key feature of tumor cells to adapt to the microenvironment and plays an important role in tumor growth, invasion, and metastasis.
Yufeng Gao +11 more
wiley +1 more source
Classical Kloosterman Sums: Representation Theory, Magic Squares, and Ramanujan Multigraphs [PDF]
, 2011 We consider a certain finite group for which Kloosterman sums appear as character values. This leads us to consider a concrete family of commuting hermitian matrices which have Kloosterman sums as eigenvalues. These matrices satisfy a number of “magical”
Patrick S. Fleming +5 more
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