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Arithmetic progressions at the Journal of the LMS
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We discuss the papers P. Erdős and P. Turán, On some sequences of integers, J. London Math. Soc. (1) 11 (1936), 261–264 and K. F. Roth, On certain sets of integers, J. London Math. Soc. (1) 28 (1953), 104–109, both foundational papers in the study of arithmetic progressions in sets of integers, and their subsequent influence.
Ben Green
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, 2018 The Goldbach's conjecture has been described as the most difficult problem in the history of Mathematics. This conjecture states that every even integer greater than 2 can be written as the sum of two primes.
Frank Vega (4690180)
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, 2013 Goldbach's conjecture, proposed in 1742, is one of the oldest open questions in mathematics. Much work has been done on the problem, and despite significant progress, a solution remains elusive.
King, Westin.
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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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Unifying colors by primes. [PDF]
Light Sci Appl, 2023 Li HL, Fang SC, Lin BMT, Kuo W.
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A progress on the binary Goldbach conjecture [PDF]
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 Goldbach conjecture in full.
Agama, Theophilus
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Studia Historiae ScientiarumThe 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]
Front Genet, 2023 Ranjan T +9 more
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, 2012 Admin note: withdrawn by arXiv admin because of the use of a pseudonym, in violation of arXiv policy.
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