Jacobi's four-square theorem is a result in number theory that gives an exact formula for the number of ways a given positive integer can be written as a sum of four integer squares. 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
StatementThe number of ways to represent n as a sum of four squares is eight times the sum of the divisors of n if n is odd, and 24 times the sum of the odd divisors of n if n is even. 1 Classification
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Source Jacobi's four-square theorem (Wikipedia)
Proved By
Source Jacobi's four-square theorem (Wikipedia)
Sources
1. Jacobi's four-square theorem (Wikipedia)
Theorem
The number of ways to represent n as the sum of four squares is eight times the sum of the divisors of n if n is odd and 24 times the sum of the odd divisors of n if n is even
History
The theorem was proved in 1834 by Carl Gustav Jakob Jacobi.
In Branch: Number Theory, Article text
In number theory, Jacobi's four-square theorem gives a formula for the number of ways that a given positive integer n can be represented as the sum of four squares (of integers).
Proved By: Carl Gustav Jacob Jacobi, Lead
The theorem was proved in 1834 by Carl Gustav Jakob Jacobi.
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