Results 31 to 40 of about 7,584,855 (293)
, 2022 This paper presents evidence of a recursive fractal structure in the distribution of prime numbers,revealed through triplet decomposition and recursive extraction of strings based on the position of primeswithin triplets. Each level of recursion yields three new strings (X, Y, Z), forming a tree-like topology ofprime-derived sequences.
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Special prime numbers and discrete logs in finite prime fields [PDF]
Mathematics of Computation, 2000 Summary: A set \(A\) of primes \(p\) involving numbers such as \(ab^t+c\), where \(| a|,| b|,| c|=O(1)\) and \(t\to\infty\), is defined. An algorithm for computing discrete logs in the finite field of order \(p\) with \(p\in A\) is suggested. Its heuristic expected running time is \(L_p[\frac13;(\frac{32}{9})^{1/3}]\) for \((\frac{32}{9})^{1/3}=1.526 ...
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A new quantum-safe multivariate polynomial public key digital signature algorithm
Scientific Reports, 2022 We propose a new quantum-safe digital signature algorithm called Multivariate Polynomial Public Key Digital Signature (MPPK/DS). The core of the algorithm is based on the modular arithmetic property that for a given element g, greater than equal to two ...
Randy Kuang +2 more
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Comparative field performance evaluation of different type of Pusa Electric Power Units
The Indian Journal of Agricultural Sciences, 2022 Pusa developed three walk-behind type electric power units were evaluated in 9.96 ha area for tillage in polyhouse, secondary tillage, planking and weeding-cum interculture operations at research farm of ICAR-IARI during kharif and rabi 2020 and 2021 ...
UTPAL EKKA, S P SINGH, M K SINGH
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The Splitting of Primes in Division Fields of Elliptic Curves [PDF]
Experimental Mathematics, 2002 In this paper we will give a global description of the Frobenius for the division fields of an elliptic curve E which is strictly analogous to the cyclotomic case. This is then applied to determine the splitting of a prime p in subfields of such a division field.
Duke, W., Tóth, Á.
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Applications of Smarandache Function, and Prime and Coprime Functions [PDF]
, 2002 A book for people who love numbers: Smarandache Function applied to perfect numbers, congruences.
Ruiz, Sebastián Martín
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National Implementation Plan for the UN Decade of Ocean Science
, 2022 The UN General Assembly took the decision on the UN Decade of Ocean Science for Sustainable Development 2021–2030 in 2017. The aim is to support marine research in the implementation of the Sustainable Development Goals.
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Calculation of Fourier-Galois transforms in reduced binary number systems [PDF]
Компьютерная оптика, 2018 The paper proposes a new method for calculating Fourier-Galois transforms (number-theoretical transforms), which are a modular analog of the discrete Fourier transform.
Vladimir Chernov
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The Prime Scalar Field: The Prime Pattern Solved. A
, 2022 The Prime Scalar Field The Pattern of Prime Numbers: Fractals of a Quantized Harmonic Resonant Scalar Field Author: Damon Michael Dorsey - 4.21.2025 Abstract (A preliminary paper) Prime numbers are fundamental to mathematics and theoretical physics, yet their apparent randomness has long obscured their underlying structure.
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Prime numbers in logarithmic intervals [PDF]
, 2010 Let $X$ be a large parameter. We will first give a new estimate for the integral moments of primes in short intervals of the type $(p,p+h]$, where $p\leq X$ is a prime number and $h=\odi{X}$.
A. Languasco +9 more
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