Results 41 to 50 of about 8,606,543 (158)
The q-Integers and the Mersenne Numbers [PDF]
SSRN Electronic Journal, 2018 Here we will show that the q-integers, the q-analogue of the integers that we can find in the q-calculus, are forming an additive group having a generalized sum similar to the sum of the Tsallis q-entropies of independent systems. The symmetric form of q-integers will be studied too.
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Partitions of numbers and the algebraic principle of Mersenne, Fermat and even perfect numbers [PDF]
Notes on Number Theory and Discrete MathematicsLet ρ be an odd prime greater than or equal to 11. In a previous work, starting from an M-cycle in a finite field 𝔽_ρ, it has been established how the divisors of Mersenne, Fermat and Lehmer numbers arise.
A. M. S. Ramasamy
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IEEE Access, 2021 In this paper, we concretely formulate to derive the attacker's success probability of obtaining the shared secret keys for the Y00 protocol under a combination of a quantum collective attack with infinitely-long known-plaintext, naming it “ ...
Takehisa Iwakoshi
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Fast, high-quality pseudo random number generators for heterogeneous computing [PDF]
EPJ Web of ConferencesRandom number generation is key to many applications in a wide variety of disciplines. Depending on the application, the quality of the random numbers from a particular generator can directly impact both computational performance and critically the ...
Barbone Marco +7 more
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Algorithms, 2023 In this paper, a hybrid nature-inspired metaheuristic algorithm based on the Genetic Algorithm and the African Buffalo Optimization is proposed. The hybrid approach adaptively switches between the Genetic Algorithm and the African Buffalo Optimization ...
Marko Gulić, Martina Žuškin
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Glasnik matematički, 2016 For an integer k≥ 2, let (Fn(k))n be the k-Fibonacci sequence which starts with 0,...,0,1 (k terms) and each term afterwards is the sum of the k preceding terms. In this paper, we find all k-Fibonacci numbers which are Mersenne numbers, i.e., k-Fibonacci numbers that are equal to 1 less than a power of 2.
Bravo, Jhon J., Gómez, Carlos A.
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Journal of Science and Arts, 2021 In this paper, we define Gaussian Mersenne numbers and we give some properties of them. Moreover we present some relations among Gaussian Mersenne numbers, Gaussian Jacobsthal numbers and Gaussian Jacobsthal-Lucas numbers. We also present some results with matrices involving Gaussian Mersenne numbers.
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Unified algorithms for generalized new Mersenne number transforms [PDF]
, 2023 The generalized new Mersenne number transforms (GNMNTs) have proved to be significant number theoretic transforms (NTTs) used to calculate convolutions and correlations accurately. In this paper, by applying the principles of the decimation-in-frequency (
Abdulla, Lujain S.; Tikrit University +2 more
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On the Number of Divisors of Mersenne Numbers
Experimental Mathematics13 pages, 5 figures, 2 tables; v4: incorporated editorial ...
Kovač, Vjekoslav, Luca, Florian
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On Mersenne Finite Operators and Their Quaternion Counterparts
Cumhuriyet Science JournalIn this study, we introduce the Mersenne finite operator sequences, derived by applying a finite operator to Mersenne sequences, and investigate their fundamental properties. We establish the recurrence relations, derive a Binet-like formula, and present
Bahar Kuloǧlu
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