Results 81 to 90 of about 138 (120)

Common Phenomenal and Neural Substrate Geometry in Visual Motion Perception

open access: yes
Robinson K   +4 more
europepmc   +1 more source

A Geometric Construction for the Goldbach Conjecture: Sphere Helix Identity and Gauss Partition Method

open access: yes
Within the sphere helix framework of the Riemann ζ function (V12, DOI: 10.5281/zenodo.20504171), this paper establishes the exact algebraic identity cos(t_p) + cos(t_q) = 1/R, translating the Goldbach condition p + q = 2R into the dynamical language of the sphere helix. The 1/R on the right side comes entirely from V = 1/2 — the signature of
openaire   +3 more sources

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 ...
openaire   +1 more source

Deep learning-based approximation of Goldbach partition function

Discrete Mathematics, Algorithms and Applications, 2021
Goldbach’s conjecture is one of the oldest and famous unproved problems in number theory. Using a deep learning model, we obtain an approximation of the Goldbach partition function, which counts the number of ways of representing an even number greater than 4 as a sum of two primes.
openaire   +2 more sources

Goldbach partitions and sequences

Resonance, 2014
Properties of Goldbach partitions of numbers, as sums of primes, are presented and their potential applications to cryptography are described. The sequence of the number of partitions has excellent randomness properties. Goldbach partitions can be used to create ellipses and circles on the number line and they can also be harnessed for cryptographic ...
openaire   +1 more source

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