Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-28T07:22:32.754Z Has data issue: false hasContentIssue false

105.03 Almost Goldbach theorems

Published online by Cambridge University Press:  17 February 2021

Clement E. Falbo*
Affiliation:
Sonoma State University, California, USA e-mail: [email protected]

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Notes
Copyright
© The Mathematical Association 2021

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Hardy, G. H. and Littlewood, J. E., A further contribution to the study of Goldbach's problem, Proc. London Math. Soc. 22 (1923) pp. 4656.Google Scholar
Vinogradov, I. M., Representation of an odd number as a sum of three primes, Dokl.Akad.Nauk SSSR 15 (1937) pp. 291294.Google Scholar
Liu, Ming-Chit and Wang, Tian-Ze, On the Vinogradov bound in the three prime Goldbach conjecture, Acta. Arith. 105 (2002) pp. 133175.CrossRefGoogle Scholar
Helfgott, H. A., The ternary Goldbach conjecture is true, arXiv:1312.7748v2[math.NT] 17 January 2014.Google Scholar
Brun, V., Le crible d'Érastosthéne et le théoreme de Goldbach, Skr. Norske VId, Akad, Kristiania, I; 3 (1920) pp. 136.Google Scholar
Wang, Yuan, On the representation of a large even integer as a sum of a product of at most three primes and a product of at most four primes, Acta Math, Sinica, 6 (1956) pp. 500513.Google Scholar
Wang, Yuan, On the representation of a large even integer as a sum of a prime and a product of at most 4 primes, Acta Math. Sinica 6 (1956) pp. 565582.Google Scholar
Schnirelmann, L. G., Uber additive Eigenschaften von Zahlen, Izv. Donck. Polytech. Inst. 14 (1930) pp. 328.Google Scholar
Khinchin, A. Y., Zur additiven Zahlentheorie, Mat. Sbornik 39, 3 (1932) pp. 2734.Google Scholar
Romanov, N. P., On the Goldbach problem, Izv. NEE Mat. and Tech. Univ. Tomsk 1 (1935) pp. 3438.Google Scholar
Ricci, G., Su la congettura di Goldbach e la constante di Schnirelmann; (I) Ann. Scuola Norm. Sup. Pisa (2), 6 (1937) pp. 71-90 (II): ibid 6 (1937) pp. 91-116.Google Scholar
Vaughan, R. C., A note on Schnirelmann's approach to Goldbach's problem, Bull. London Math. Soc. 8 (1976) pp. 245250.CrossRefGoogle Scholar
Linnik, Y. V., Addition of prime numbers and powers of one and the same number, Mat. Sb. (N.S.) 32 (1953) pp. 360.Google Scholar
Heath-Brown, D. R. and Puchta, J. C., Integers represented as a sum of primes and powers of two, Asian Journal of Mathematics 6 (2002) pp. 535565.CrossRefGoogle Scholar
Jing-Run, Chen, On the representation of a large even integer as the sum of a prime and the product of at most two primes, Kexu Tongbao 17 (1966) pp. 385386.Google Scholar
Jing-Run, Chen, On the representation of a large even integer as the sum of a prime and the product of at most two primes, (I) Sci Sinica 16 (1973) pp. 157176; (II) ibid 21 (1978) pp. 421-430.Google Scholar
Yamada, Tomohiro, Explicit Chen's theorem arXiv:1511.03409[MathNT] 11 November 2015Google Scholar