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We examine additive properties of dense subsets of sifted sequences, and in particular prove under very general assumptions that such a sequence is an additive asymptotic basis whose order is very well controlled.

Additive representation in thin sequences, I : Waring's problem for cubes

Jörg Brüdern, Koichi Kawada, Trevor D Wooley (2001)

Annales scientifiques de l'École Normale Supérieure

Additive representation in thin sequences, III: asymptotic formulae

J. Brüdern, K. Kawada, T. D. Wooley (2001)

Acta Arithmetica

Affine Lie algebras and modular forms

I. G. MacDonald (1980/1981)

Séminaire Bourbaki

Alle großen ganzen Zahlen lassen sich als Summe von höchstens 71 Primzahlen darstellen

Hans Heilbronn, Edmund Landau, Peter Scherk (1936)

Časopis pro pěstování matematiky a fysiky

Amélioration de la constante de Šnirelman dans le problème de Goldbach

Jean-Marc Deshouillers (1972/1973)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Amélioration de la majoration de $g (4)$ dans le problème de Waring : $g (4) \leq 34$

François Dress (1969/1970)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Amélioration de la majoration de g(4) dans le problème de Waring: g(4)≤30

François Dress (1973)

Acta Arithmetica

An Addition Theorem for the Elementary Abelian Group of Type (p, p).

Henry B. Mann, Ying Fou Wou (1986)

Monatshefte für Mathematik

An additive divisor problem.

Todorova, Tatiana Liubenova (2005)

Acta Universitatis Apulensis. Mathematics - Informatics

An additive problem in the theory of numbers

Akio Fujii (1981)

Acta Arithmetica

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