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Impacts of Linnik Flight Usage Patterns on Cuckoo Search for Real-Parameter Global Optimization Problems [PDF]
IEEE Access, 2019 Several contemporary algorithms, including cuckoo search (CS), were applied to the CEC 2017 problem set, which includes a wide variety of 120 very difficult subproblems.
Patchara Nasa-Ngium +2 more
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On pairs of equations in eight prime cubes and powers of 2
AIMS Mathematics, 2023 In this paper, it is proved that every pair of large positive even integers satisfying some necessary conditions can be represented in the form of a pair of eight cubes of primes and 287 powers of 2. This improves the previous result.
Gen Li, Liqun Hu, Xianjiu Huang
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On a Multivariate Analog of the Zolotarev Problem
Mathematics, 2021 A generalized multivariate problem due to V. M. Zolotarev is considered. Some related results on geometric random sums and (multivariate) geometric stable distributions are extended to a more general case of “anisotropic” random summation where sums of ...
Yury Khokhlov, Victor Korolev
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On Linnik’s approximation to Goldbach’s problem. II [PDF]
Acta Mathematica Hungarica, 2003 \textit{Yu. V. Linnik} [Tr. Mat. Inst. Steklova 38, 152--169 (1951; Zbl 0049.31402)] proved the existence of a constant \(K\) such that every sufficiently large even number is the sum of two primes and at most \(K\) powers of 2. \textit{D. R. Heath-Brown} and \textit{J. C. Puchta} [Asian J. Math. 6, No.
Pintz, János, Ruzsa, Z. Imre
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LINE-FIELD SWEPT-SOURCE OPTICAL COHERENCE TOMOGRAPHY SYSTEM FOR NEAR INFRARED SPECTRAL REGION [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2016 The system for line-field swept-source optical coherence tomography (OCT) for near infrared spectral range is considered. In this connection, for tomograms visualization, frequency of signal acquisition not less than 20 kHz is needed.
I. P. Gurov +2 more
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Abstract P-39: Novel Perspectives for CLEM Techniques in Multiparametric Morphology Protocols [PDF]
International Journal of Biomedicine, 2019 Background: It is well known that CLEM techniques are very informative SEM strategies and approaches based on the fluorescence dyes and pigments as labels and electron microscopy contrast agents in some cases.
Oleg V. Gradov
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Variance Estimates in Linnik’s Problem
International Mathematics Research Notices, 2022 Abstract We evaluate the variance of the number of lattice points in a small randomly rotated spherical ball on a surface of 3-dimensional sphere centered at the origin. Previously, Bourgain, Rudnick, and Sarnak showed conditionally on the Generalized Lindelöf Hypothesis that the variance is bounded from above by $\sigma (\Omega ){N_n ...
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On the almost Goldbach problem of Linnik [PDF]
Journal de théorie des nombres de Bordeaux, 1999 Under the Generalized Riemann Hypothesis, it is proved that for any k≥200 there is N k >0 depending on k only such that every even integer ≥N k is a sum of two odd primes and k powers of 2.
Liu, Jianya +2 more
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On a Linnik problem for elliptic curves [PDF]
Proceedings of the American Mathematical Society, 2019 Let S ( Q , B ) S(Q,B) denote the number of moduli q ≤ Q q\leq Q for which a primitive character χ \chi mod q q exists such that n χ > B
Dąbrowski, Andrzej, Pomykała, Jacek
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A pair of equations in unlike powers of primes and powers of 2
Open Mathematics, 2020 In this article, we show that every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of one prime, one prime squares, two prime cubes, and 187 powers of 2.
Cai Yong, Hu Liqun
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