On some problems of W. Sierpiński
A. Rotkiewicz (1972)
Acta Arithmetica
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A. Rotkiewicz (1972)
Acta Arithmetica
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P. Gallagher (1971)
Acta Arithmetica
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E. Scourfield (1973)
Acta Arithmetica
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A. Rotkiewicz, H. Halberstam (1968)
Acta Arithmetica
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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....
Paul Erdös (1958)
Acta Arithmetica
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J. Bovey (1973)
Acta Arithmetica
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E. Scourfield (1980)
Acta Arithmetica
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Doychin Tolev (2005)
Journal de Théorie des Nombres de Bordeaux
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We consider an approximation to the popular conjecture about representations of integers as sums of four squares of prime numbers.