The Goldbach problem

@inproceedings{Iwaniec2004TheGP,
  title={The Goldbach problem},
  author={Henryk Iwaniec and Emmanuel Kowalski},
  year={2004}
}
This is a project for a student who likes problems about the distribution of prime numbers and who enjoyed the last part of the undergraduate course Analytic Number Theory related to the representation of every large enough positive integer as the sum of nine positive integer cubes. One of the most well-known open problems in all of mathematics is the Goldbach conjecture: every even integer greater than two is the sum of two primes. If true, it implies that every odd integer greater than five… Expand
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  • S. Davis
  • Mathematics, Computer Science
  • Int. J. Math. Math. Sci.
  • 2004
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It will be shown how to determine by the method of induction the existence of a non-zero lower bound for the number of Goldbach partitions of all even integers greater than or equal to 4. Expand
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This paper presents a deterministic process of finding all pairs (p,q) of odd numbers (composites and primes) of natural numbers ≥ 3 whose sum (p + q) is equal to a given even natural number 2n ≥ 6.Expand
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References

Multiplicative Number Theory
From the contents: Primes in Arithmetic Progression.- Gauss' Sum.- Cyclotomy.- Primes in Arithmetic Progression: The General Modulus.- Primitive Characters.- Dirichlet's Class Number Formula.- TheExpand