Jacobi four-square theorem
由 MD Hirschhorn 著作 · 1982 · 被引用 15 次 — A celebrated result, due to Jacobi, says that the number of representations of the positive integer n as a sum of four squares is equal to eight times the ... ,由 MD Hirschhorn 著作 · 1987 · 被引用 58 次 — ABSTRACT. Jacobi's four-square theorem, which gives the number of representations of a positive integer as a sum of four squares, is shown to follow simply ...
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 Jacobi four-square theorem 相關參考資料
(PDF) A Simple Proof of Jacobi's Four-Square Theorem
2016年5月19日 — Jacobi's four-square theorem, which gives the number of representations of a positive integer as a sum of four squares, is shown to follow ... https://www.researchgate.net A simple proof of Jacobi's four-square theorem - Cambridge ...
由 MD Hirschhorn 著作 · 1982 · 被引用 15 次 — A celebrated result, due to Jacobi, says that the number of representations of the positive integer n as a sum of four squares is equal to eight times the ... https://www.cambridge.org A Simple Proof of Jacobi's Four-Square Theorem - jstor
由 MD Hirschhorn 著作 · 1987 · 被引用 58 次 — ABSTRACT. Jacobi's four-square theorem, which gives the number of representations of a positive integer as a sum of four squares, is shown to follow simply... https://www.jstor.org A simple proof of Jacobi's four-square theorem - maths@unsw
Jacobi's four-square theorem, which gives the number of representa- tions of a positive integer as a sum of four squares, is shown to follow simply from. https://web.maths.unsw.edu.au Jacobi's four-square theorem - Wikipedia
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. https://en.wikipedia.org Jacobi's four-square theorem - Wikiwand
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. https://www.wikiwand.com JACOBI'S TWO-SQUARE AND FOUR-SQUARE THEOREMS ...
We obtain Jacobi's two-square and four-square theorems as an appli- ... number of representations of the positive integer N as a sum of two and four squares. https://journals.math.tku.edu. Lagrange's four-square theorem - Wikipedia
The number of representations of a natural number n as the sum of four squares is denoted by r4(n). Jacobi's four-square theorem states that this is eight times ... https://en.wikipedia.org Lagrange's four-square theorem - Wikiwand
The number of representations of a natural number n as the sum of four squares is denoted by r4(n). Jacobi's four-square theorem states that this is eight times ... https://www.wikiwand.com Proofs of Jacobi's four-square theorem - MathOverflow
If you are interested only in Jacobi's formula for odd integers, there is an elementary proof based on the convolution formula r4(n)=∑r+s=nr2(r)r2(s), due to ... https://mathoverflow.net |