The Hasse principle for pairs of diagonal cubic forms

• Autores: Jörg Brüdern, Trevor D. Wooley
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 166, Nº 3, 2007, págs. 865-895
• Idioma: inglés
• DOI: 10.4007/annals.2007.166.865
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• Resumen

  • By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.