For even ,
(1)
|
(Nagell 1951, p. 176). Writing out symbolically,
(2)
|
which gives
(3)
|
where is a q-Pochhammer symbol.
For example, for ,
(4)
|
and for ,
(5)
|
For even ,
(1)
|
(Nagell 1951, p. 176). Writing out symbolically,
(2)
|
which gives
(3)
|
where is a q-Pochhammer symbol.
For example, for ,
(4)
|
and for ,
(5)
|
Weisstein, Eric W. "Gauss's Polynomial Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GausssPolynomialIdentity.html