Year 2017,
Volume: 5 Issue: 1, 83 - 106, 01.01.2017
Manuel Meireles
References
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- Durrett, R (1995) Probability: Theory and Examples, 2.ed. Duxbury Press.
- Richstein, J. (2000) Verifying the Goldbach conjecture up to 4 - 10 ^14. Mathematics of Computation. v.70, n. 236, p. 1745-1749, S 0025-5718(00)01290-4, Article electronically published on July 18 2000.
- Legendre, A.M. (1808) Essai sur la théorie des nombres, 2ed. Paris:Courcier.
- Stein, M.; Ulam, S. M. (1967), An Observation on the Distribution of Primes, American Mathematical Monthly (Mathematical Association of America) 74 (1):43–44, doi:10.2307/2314055, JSTOR 2314055.
- Sylvester, J.J. (1896) On the Goldbach-Euler Theorem regarding prime numbers. Nature 55 (31 December 1896):196-197.
- Lamboley G. (2012) The locks of hair of Goldbach Comet tail. http://www.lamboleyetudes.net./pr-en-comet.pdf .
Partitions of even numbers
Year 2017,
Volume: 5 Issue: 1, 83 - 106, 01.01.2017
Manuel Meireles
Abstract
![](data:image/png;base64,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)
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There are 7 citations in total.