Results 61 to 70 of about 61,568 (111)

La conjecture de Goldbach -la comète de Goldbach- pour les entiers pairs de 6 à 6244

open access: yes, 2013
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 6244 (La conjecture de Goldbach -la comète de Goldbach- pour les entiers pairs de 6 à ...
Colonna, Jean-Francois
core   +1 more source

La conjecture de Goldbach -la comète de Goldbach ou l'arc-en ciel de Goldbach- pour les entiers pairs de 6 à 41518

open access: yes, 2013
The Goldbach conjecture -the Goldbach comet or the Goldbach rainbow- for the even numbers from 6 to 41518 (La conjecture de Goldbach -la comète de Goldbach ou l'arc-en ciel de Goldbach- pour les entiers pairs de 6 à ...
Colonna, Jean-Francois
core  

An identity for the sum of residues related to Goldbach partitions

open access: yes
In this paper, we define a new arithmetic function \varphi_{k}, which we shall call the Goldbach varphi function, defined as \varphi_{k}:\mathbb{Z}/p_{k}\#\mathbb{Z}\rightarrow\mathbb{R}. We establish a fundamental identity that connects the values of this function with the local count of Goldbach partitions m_{k}(2n) .
openaire   +3 more sources

The Goldbach Quasicrystal: Topological Protection and Scale-Invariance in Prime Partition Networks

open access: yes
This preprint presents a novel network-theoretic approach to the Goldbach Conjecture through computational analysis of the "Goldbach Graph" - a network where even integers are nodes connected by shared prime components in their partitions. We analyze networks scaling from N=6,000 to N=1,000,000, revealing three key structural signatures: (1) Phase ...
openaire   +2 more sources

A novel and diverse family of filamentous DNA viruses associated with parasitic wasps. [PDF]

open access: yesVirus Evol
Guinet B   +13 more
europepmc   +1 more source

La conjecture de Goldbach -la comète de Goldbach- pour les entiers pairs de 6 à 411678

open access: yes, 2013
The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 411678 (La conjecture de Goldbach -la comète de Goldbach- pour les entiers pairs de 6 à ...
Colonna, Jean-François
core  

Symmetric Goldbach Partition Theory: exact identities, unconditional bounds, and a demonstration program

open access: yes
I'm presenting the Symmetric Goldbach Partition Theory (SGPT), a framework reformulating Goldbach's conjecture via symmetric distances d around the midpoint m=N/2.  Main unconditional results:(1) Exact identity |T(m,z)|^2 = pi(z) + 2·CROSS(m,z), verified to N=10^12;(2) Selberg constant C_S = e^gamma/(2*C_2) = 1.34896, first derived here;(3 ...
openaire   +2 more sources

La conjecture de Goldbach -le glacier de Goldbach- pour les entiers pairs de 6 à 6244

open access: yes, 2013
The Goldbach conjecture -the Goldbach glacier- for the even numbers from 6 to 6244 (La conjecture de Goldbach -le glacier de Goldbach- pour les entiers pairs de 6 à ...
Colonna, Jean-Francois
core  

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