Waring Formula

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook

[画像: A^n+B^n=sum_(j=0)^(|_n/2_|)(-1)^jn/(n-j)(n-j; j)(AB)^j(A+B)^(n-2j), ]

where |_x_| is the floor function and (n; k) is a binomial coefficient.

See also

Binomial Number, Binomial Sums, Fermat's Last Theorem

Explore with Wolfram|Alpha

WolframAlpha

More things to try:

Cite this as:

Weisstein, Eric W. "Waring Formula." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/WaringFormula.html

Subject classifications