Results 21 to 30 of about 75,035 (162)
A Functional Equation in Arithmetic [PDF]
Transactions of the American Mathematical Society, 1936 which occurs in all theories of numerical functions hitherto considered. The two most highly developed theories of this kind are those in which multiplication in the ring of all numerical functions is abstractly identical with C (Cauchy) or D (Dirichlet) multiplication of infinite series.t Lehmer's five postulates are sufficient for the development of ...
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Sequences in finite fields yielding divisors of Mersenne, Fermat and Lehmer numbers, II [PDF]
Notes on Number Theory and Discrete MathematicsLet ρ be an odd prime ≥ 11. In Part I, starting from an M-cycle in a finite field 𝔽_ρ, we have established how the divisors of Mersenne, Fermat and Lehmer numbers arise.
A. M. S. Ramasamy
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Further Results on a Curious Arithmetic Function
Journal of Mathematics, 2020 Let p be an odd prime number and n be a positive integer. Let vpn, N∗, and Q+ denote the p-adic valuation of the integer n, the set of positive integers, and the set of positive rational numbers, respectively.
Long Chen, Kaimin Cheng, Tingting Wang
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Real-time numerical system convertor via two-dimensional WS2-based memristive device
Frontiers in Computational Neuroscience, 2022 The intriguing properties of two-dimensional (2D) transition metal dichalcogenides (TMDCs) enable the exploration of new electronic device architectures, particularly the emerging memristive devices for in-memory computing applications. Implementation of
Xing Xin +10 more
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Two new arithmetic operations [PDF]
Notes on Number Theory and Discrete MathematicsTwo arithmetic operations are introduced and some of their properties are studied. It is proved that they can be operations of semi-groups, but not of monoids. It is shown that their reverse operations are not one-valued. Some connections between the new
Krassimir Atanassov, József Sándor
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IET Communications, 2021 Group‐oriented applications show its potential ability in the next generation of wireless sensor networks (5G WSNs), which have the particularity of being heterogeneous and so have different capabilities in terms of storage, computing, communicating and ...
Chingfang Hsu +4 more
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Alifmatika, 2021 This study aimed to analyze the level of students' metacognition skills and creative thinking in the generalization of a two-dimensional arithmetic sequence. A qualitative descriptive is a scientific approach used in this study.
Mohammad Tohir, Muhasshanah Muhasshanah
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Arithmetic of the Fabius Function
Integers, 2017 I solve here a question of Vladimir Reshetnikov in Mathoverflow (question 261649) about the values of Fabius function. Namely, I prove that the numbers $R_n:=2^{-\binom{n-1}{2}}(2n)! F(2^{-n})\prod_{m=1}^{\lfloor n/2\rfloor}(2^{2m}-1)$ are integers. We show also some other arithmetical properties of the values of Fabius function at dyadic points.
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Research on the security of national secret algorithm based compute first networking
Dianxin kexue, 2023 With the promotion of national secret algorithm, in-depth research on the arithmetic network was carried out, a more efficient and reasonable security scheme for the arithmetic network was proposed, ensuring the data security and privacy of the ...
Jie PAN +3 more
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On the Arithmetic of Abelina Functions [PDF]
Proceedings of the National Academy of Sciences, 1927 Systematic application of abelian functions to the theory of numbers discloses many new arithmetical phenomena of considerable interest. Particularly is this the case when the periods of the functions are connected by one or more singular relations in the usual sense.
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