Results 61 to 70 of about 113,113 (111)

A progress on the binary Goldbach conjecture

, 2022
In this paper, we develop the method of circle of partitions and associated statistics. As an application, we prove conditionally the binary Goldbach conjecture. We develop series of steps to prove the binary Gold-bach conjecture in full. We end the paper by proving the binary Goldbach conjecture for all even numbers exploiting the strategies outlined.
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Proof of the Goldbach's Conjecture

, 2021
Goldbach’s Conjecture states that every even number greater than 3, can be written as a summation of two prime numbers. This conjecture is roughly 300 years old and a very famous unsolved mathematics problem.
K.H.K. Geerasee Wijesuriya
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On the Goldbach Conjecture in Arithmetic Progressions

Rocky Mountain Journal of Mathematics, 2006
For integers \(k\), \(b_1\), \(b_2\) and \(b_3\) with \(k\geq1\) and \((b_1b_2b_3,k)=1\), write \(J(N)=J(N;k,b_1,b_2,b_3)\) for the number of representations of \(N\) in the form \(N=p_1+p_2+p_3\) with primes \(p_i\) satisfying \(p_i\equiv b_i\pmod k\) for \(i=1\), 2, 3.
Bauer, Claus, Yonghui, Wang
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Literature and Mathematics: An Attempt at an Inter-Thematic Analysis of Aposto/os Doxiades Novel Uncle Petros and Goldbach's Conjecture [PDF]

, 2013
This paper attempts an inter-thematic analysis of the book Uncle Petros and Goldbach's Conjecture. The paper constitutes only an introduction to a theme that is both huge and relatively new in the field of literature.
Kefallinos, Elizabeth
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Goldbach's Conjecture, chip-firing game, 2 × 2 matrices and infinite descent

, 2018
A modelisation based on a two letters language and on 2 × 2 counting matrices inspired by chip-firing games allows us to approach a Goldbach's conjecture ...
Vella-Chemla, Denise
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Goldbach's conjecture

, 2012
Admin note: withdrawn by arXiv admin because of the use of a pseudonym, in violation of arXiv policy.
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Increasing integer sequences and Goldbach's conjecture [PDF]

RAIRO - Theoretical Informatics and Applications, 2006
Summary: Increasing integer sequences include many instances of interesting sequences and combinatorial structures, ranging from tournaments to addition chains, from permutations to sequences having the Goldbach property that any integer greater than 1 can be obtained as the sum of two elements in the sequence. The paper introduces and compares several
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Some results on Goldbach's problem [PDF]

, 1995
In Section 1 we introduce the Goldbach Conjecture and give a brief account on the main contribution to this subject. In the other sections we sketch the proofs of some results on the existence of Goldbach numbers in short intervals and on the ...
LANGUASCO, ALESSANDRO
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Fuglede`s conjecture fails in dimension 4 [PDF]

, 2005
In this note we modify a recent example of Tao and give an example of a set Omega subset of R-4 such that L-2(Omega) admits an orthonormal basis of exponentials {1/vertical bar Omega vertical bar 1/2 e(2 pi i )}(xi epsilon Lambda) for some set Lambda ...
Matolcsi, Máté
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The Landau's problems.I: The Goldbach's conjecture proved

, 2012
We give a direct proof of the Goldbach's conjecture in number theory, formulated in the Euler's form. The proof is also constructive, since it gives a criterion to find two prime numbers $\ge 1$, such that their sum gives a fixed even number $\ge 2$. (A {
PRASTARO, Agostino
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