Theorem

Birch's Theorem

Number Theory

Birch's theorem, named for the mathematician Bryan John Birch, is a statement in number theory about the representability of zero by forms of odd degree. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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Characterization Theorem 1
Statement
Birch's theorem is a statement about the representability of zero by odd degree forms. 1
Birch's Theorem
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Source Birch's theorem (Wikipedia)

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Source Birch's theorem (Wikipedia)
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1. Birch's theorem (Wikipedia)
  • Introduction
    is a statement about the representability of zero by odd degree forms
  • Proved By: Bryan Birch, Lead section
    Birch's theorem, named for Bryan John Birch
  • In Branch: Number Theory, Lead section
    is a statement about the representability of zero by odd degree forms.
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Bryan Birch (Wikipedia)
Wikimedia FoundationPrincipal Result Of: Bryan Birch, Article text
Quote, Principal Result Of: Bryan Birch, Article text
More influenced by Harold Davenport, he proved Birch's theorem, one of the results to come out of the Hardy-Littlewood circle method.
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