Abstract
In this chapter we investigate the question of the representation of an odd integer N as the sum of three prime numbers (the Goldbach Conjecture). We shall prove I.M. Vinogradov’s theorem on the asymptotic formula for the number of representations of N as the sum of three primes, from which it will follow that every sufficiently large odd number can be written as the sum of three primes.
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© 1993 Springer-Verlag Berlin Heidelberg
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Karatsuba, A.A., Nathanson, M.B. (1993). The Goldbach Conjecture. In: Basic Analytic Number Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58018-5_10
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DOI: https://doi.org/10.1007/978-3-642-58018-5_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63436-9
Online ISBN: 978-3-642-58018-5
eBook Packages: Springer Book Archive