Results 41 to 50 of about 2,178 (130)

Simple Barban–Davenport–Halberstam type asymptotics for general sequences

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We prove two estimates for the Barban–Davenport–Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence is sufficiently nice, and is either somewhat sparse or is sufficiently like the integers in its ...
Adam J. Harper
wiley   +1 more source

Goldbach's Conjecture proof.

open access: yes, 2020
We had taken a unique and a simple approach and tried to solve Goldbach's conjecture, the famously known conjecture which mathematician throughout the centuries are trying to solve it but always get failed. ‘If sum of two primes is not prime or composite or any odd number divisible only by 3, then it must be even’.
openaire   +1 more source

Geomechanics of Flooding‐Induced Microseismicity—Implications for Post‐Mining Environments

open access: yesJournal of Geophysical Research: Solid Earth, Volume 130, Issue 9, September 2025.
Abstract Seismicity related to mining has gained considerable public attention in the last decades and is one of the reasons for mine closures in Germany. The seismicity in the Ruhr coal mining district of Germany has been monitored by different regional and (temporal) local networks and is classified as purely mining‐induced without evidence for ...
Thomas Niederhuber   +7 more
wiley   +1 more source

Goldbach's conjecture

open access: yes, 2012
Admin note: withdrawn by arXiv admin because of the use of a pseudonym, in violation of arXiv policy.
openaire   +2 more sources

Refined Goldbach conjectures with primes in progressions

open access: yes, 2018
We formulate some refinements of Goldbach's conjectures based on heuristic arguments and numerical data. For instance, any even number greater than 4 is conjectured to be a sum of two primes with one prime being 3 mod 4. In general, for fixed $m$ and $a,
Martin, Kimball
core  

Unifying colors by primes. [PDF]

open access: yesLight Sci Appl, 2023
Li HL, Fang SC, Lin BMT, Kuo W.
europepmc   +1 more source

On Goldbach conjecture

open access: yes, 2020
The Goldbach Problem is reduced to three smaller problems according to the concept of left, middle, and right numbers [1]. The left and right numbers are present in the Goldbach pairs. The solutions to the three problems are similar and simpler. A condition for the satisfaction of the Goldbach conjecture as well as a main equation for the number of ...
openaire   +2 more sources

Reflections on the Importance of the Leonhardi Euleri Opera Omnia, Volume IV A (2016) and Volume VIII (2018)

open access: yesStudia Historiae Scientiarum
The article is devoted to two volumes of Leonhard Euler’s correspondence with mathematicians and other scientists. The first of these volumes (in two parts) is devoted to correspondence with Christian Goldbach.
Stanisław Domoradzki   +1 more
doaj  

The curious case of genome packaging and assembly in RNA viruses infecting plants. [PDF]

open access: yesFront Genet, 2023
Ranjan T   +9 more
europepmc   +1 more source

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