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Zeros of p-adic forms

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 نشر من قبل D. R. Heath-Brown
 تاريخ النشر 2009
  مجال البحث
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 تأليف D.R. Heath-Brown




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A variant of Brauers induction method is developed. It is shown that quartic p-adic forms with at least 9127 variables have non-trivial zeros, for every p. For odd p considerably fewer variables are needed. There are also subsidiary new results concerning quintic forms, and systems of forms.



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