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Convolution of beta prime distribution
Transactions of the American Mathematical Society, 2022 We establish some identities in law for the convolution of a beta prime distribution with itself, involving the square root of beta distributions. The proof of these identities relies on transformations on generalized hypergeometric series obtained via Appell series of the first kind and Thomae’s relationships for
Ferreira, Rui, Simon, Thomas
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Ratio Mathematica, 2019 Within the conceptual framework of number theory, we consider prime numbers and the classic still unsolved problem to find a complete law of their distribution.
Gianfranco Minati
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New estimations for numerical analysis approach to twin primes conjecture [PDF]
Notes on Number Theory and Discrete MathematicsThis paper provides a better approximation of the functions presented in the article “Numerical Analysis Approach to Twin Primes Conjecture” (see [3]).
Gabriele Di Pietro
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Gamma Band Oscillations Reflect Sensory and Affective Dimensions of Pain
Frontiers in Neurology, 2022 Pain is a multidimensional process, which can be modulated by emotions; however, the mechanisms underlying this modulation are unknown. We used pictures with different emotional valence (negative, positive, and neutral) as primes and applied electrical ...
Yuanyuan Lyu +9 more
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The Prediction of the Life Satisfaction Based on the Attachment styles and Gratitude in the Elderly Living in a Nursing Home [PDF]
روانشناسی پیری, 2021 Elderly is one of the most important periods of every person’s life, which can have negative physical and psychological consequences for the individual, family and society if not spent with satisfaction and quality. Due to the change in the age structure
Zohreh Tajabadi, Fahimeh Dehghani
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Irregularities in the Distribution of Primes and Twin Primes [PDF]
Mathematics of Computation, 1975 The maxima and minima of ⟨ L ( x ) ⟩ − π ( x ) , ⟨ R ( x ) ⟩ − π ( x ) \langle L(x)\rangle - \pi (x),\langle R(x)\rangle - \pi (x) , and ⟨ L ...
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Isolated elliptic curves and the MOV attack
Journal of Mathematical Cryptology, 2017 We present a variation on the CM method that produces elliptic curves over prime fields with nearly prime order that do not admit many efficiently computable isogenies. Assuming the Bateman–Horn conjecture, we prove that elliptic curves produced this way
Scholl Travis
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The TOR–Auxin Connection Upstream of Root Hair Growth
Plants, 2021 Plant growth and productivity are orchestrated by a network of signaling cascades involved in balancing responses to perceived environmental changes with resource availability.
Katarzyna Retzer, Wolfram Weckwerth
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On the numbers that determine the distribution of twin primes [PDF]
Surveys in Mathematics and its Applications, 2018 This paper is about a class of numbers indirectly connected to the twin primes, which have not been investigated so far. With the help of these numbers, we look at the set of twin primes from a different perspective and bring the reader's attention to ...
Antonie Dinculescu
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Autocorrelation and Lower Bound on the 2-Adic Complexity of LSB Sequence of
IEEE Access, 2020 LSB (Least Significant Bit) sequences are widely used as the initial inputs in some modern stream ciphers, such as the ZUC algorithm-the core of the 3GPP LTE International Encryption Standard. Therefore, analyzing the statistical properties (for example,
Yuhua Sun +3 more
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