Results 71 to 80 of about 171,915 (143)

Multi-omics approach identifies novel age-, time- and treatment-related immunopathological signatures in MIS-C and pediatric COVID-19

open access: yes, 2021
Sacco K   +89 more
europepmc   +1 more source

Understanding Goldbach Partitions Through Composite Patterns and the Primorial Calendar

open access: yes
This paper develops a structural and combinatorial interpretation of Goldbach partitions that complements the standard prime-based counting method g(N). Insteadof scanning for primes, the approach decomposes Goldbach’s function into three components: (1) potential residue-compatible pairs, (2) pairs eliminated (“blocked”) bycomposite occupancy in the ...
openaire   +2 more sources

The plant ionome revisited by the nutrient balance concept. [PDF]

open access: yesFront Plant Sci, 2013
Parent SÉ   +12 more
europepmc   +1 more source

Goldbach Gap Studies v2 — Empirical Variation of Goldbach Partition Counts up to 10⁶ (Unicode Math Edition)

open access: yes
This paper presents an expanded empirical analysis of Goldbach partition counts G₂(n) for even integers up to 1 000 000. Using a high-precision fast-Fourier convolution method, all unordered prime pairs (p,q) satisfying p+q=n were computed and examined for inter-even variations Δ(n)=G₂(n+2)−G₂(n).
openaire   +2 more sources

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

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