Displaying similar documents to “Primes in arithmetic progressions”

The ternary Goldbach problem.

David Rodney (Roger) Heath-Brown (1985)

Revista Matemática Iberoamericana

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The object of this paper is to present new proofs of the classical ternary theorems of additive prime number theory. Of these the best known is Vinogradov's result on the representation of odd numbers as the sums of three primes; other results will be discussed later. Earlier treatments of these problems used the Hardy-Littlewood circle method, and are highly analytical. In contrast, the method we use here is a (technically) elementary deduction from the Siegel-Walfisz Prime Number Theory....

Gaussian primes

Etienne Fouvry, Henryk Iwaniec (1997)

Acta Arithmetica

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Trigonometric sums over primes III

Glyn Harman (2003)

Journal de théorie des nombres de Bordeaux

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New bounds are given for the exponential sum P p < 2 P e ( α p k ) were k 5 , p denotes a prime and e ( x ) = exp ( 2 π i x ) .