Results 21 to 30 of about 93,875 (269)
On the distribution of twin primes [PDF]
10 ...
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Some Density Results on Sets of Primes for Hecke Eigenvalues
Let f and g be two distinct holomorphic cusp forms for SL2ℤ, and we writeλfn and λgn for their corresponding Hecke eigenvalues. Firstly, we study the behavior of the signs of the sequences λfpλfpj for any even positive integer j.
Aiyue Zou, Huixue Lao, Shu Luo
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Distribution of generalized Fermat prime numbers [PDF]
Summary: Numbers of the form \(F_{b,n}=b^{2^n}+1\) are called Generalized Fermat Numbers (GFN). A computational method for testing the probable primality of a GFN is described which is as fast as testing a number of the form \(2^m-1\). The theoretical distributions of GFN primes, for fixed \(n\), are derived and compared to the actual distributions ...
Dubner, Harvey, Gallot, Yves
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Convolution of beta prime distribution
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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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]
This 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
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]
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]
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
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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