Relations between exceptional sets for additive problems
- Autores: Koichi Kawada, Trevor D. Wooley
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 82, Nº 2, 2010, págs. 437-458
- Idioma: inglés
- DOI: 10.1112/jlms/jdq036
- Enlaces
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Resumen
We describe a method for bounding the set of exceptional integers not represented by a given additive form in terms of the exceptional set corresponding to a subform. Illustrating our ideas with examples stemming from Waring�s problem for cubes, we show, in particular, that the number of positive integers not exceeding N that fail to have a representation as the sum of six cubes of natural numbers is O(N3/7).
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