Results 41 to 50 of about 17,724,358 (326)
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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, 2022 Fine motor skills and executive function are two examples of domain-general skills. Both are correlates of arithmetic and reading ability, and have been identified as predictors of school readiness.
Hulme, Charles +2 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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Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions [PDF]
, 2013 We show that, in a restricted range, the divisor function of integers in residue classes modulo a prime follows a Gaussian distribution, and a similar result for Hecke eigenvalues of classical holomorphic cusp forms.
É. Fouvry +3 more
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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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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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Orbit quotients in the radical ring of multiplicative arithmetic functions [PDF]
Mathematica BohemicaWe extend the role of algebraic structures to the study of multiplicative arithmetic functions by associating the corresponding radical ring and a left-group action with the quasi-field (two-sided brace) of multiplicative arithmetic functions.
Emil Daniel Schwab
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