Results 71 to 80 of about 61,568 (111)
La conjecture de Goldbach -la comète de Goldbach- pour les entiers pairs de 6 à 1564
, 2013 The Goldbach conjecture -the Goldbach comet- for the even numbers from 6 to 1564 (La conjecture de Goldbach -la comète de Goldbach- pour les entiers pairs de 6 à ...
Colonna, Jean-Francois
core
This research presents an empirical framework linking additive number theory with non-linear dynamics. Specifically, it explores the relationship between the distribution of Goldbach prime partitions and the synchronization thresholds ($\Gamma$) in networks of coupled oscillators governed by the Kuramoto model.
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This paper studies the counting function of even numbers expressed as sums of two primes. Using the 1/6N constraint and symmetric sieve method, we prove the discrete monotonicity of the counting function, which provides a new proof idea for Goldbach's Conjecture.
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An Exact Identity for the Twin Prime Counting Function Derived from Minimal Goldbach Partitions
Assuming the Goldbach conjecture, we establish a quantitative connection between the twin prime counting function $\pi_2(x)$ and the distribution of minimal primes in Goldbach decompositions of even integers. For each even integer $k \geq 4$, define $p(k)$ as the smallest prime $p$ such that $k - p$ is also prime.
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A Modular Sieve Balance Model and Computational Verification for Goldbach Partitions
Resumen. En este artículo, presentamos un marco de criba modular estructural en Z/30Z para analizar la distribución y los límites inferiores de las particiones de Goldbach para enteros pares x. Al eliminar las clases de residuos divisibles por 2, 3 y 5, el problema se formula mediante progresiones aritméticas complementarias
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# The Nedelchev Structural Law: Prime Synchronization & Spectral Stability This research dataset and software framework formalize the **Nedelchev Structural Law**, a fundamental discovery linking Additive Number Theory with the synchronization dynamics of non-linear systems.
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Investigation of Several Parameters on Goldbach Partitions
, 2011 Özkan, Derya, İLGEN, BAHAR
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We introduce an explicit and calibrated formula for g(N), the number of ways an even integer N can be written as the sum of two primes. The formula is derived from the theoretical framework of the Goldbach Siege. The main term follows the Hardy-Littlewood singular series \mathfrak{S}(N) N / \log^2 N.
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Efficient Approximation of Goldbach Partition Function Using Machine Learning Models
IEEE AccessCheng-Zhe Wu, Shyong Jian Shyu
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