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/

Facts
Classification
Statement Form
Characterization Theorem 1
Statement
Birch's theorem is a statement about the representability of zero by odd degree forms. 1
Connections

Has Statement Form

In Branch

Source Birch's theorem (Wikipedia)

Named After

Principal Result Of

Source Bryan Birch (Wikipedia)

Proved By

Source Birch's theorem (Wikipedia)
Sources
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.
View the Source
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.
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.

Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme