In mathematics, the Pythagoras number or reduced height of a field describes the structure of the set of squares in the field. The Pythagoras number p ( K ) {\displaystyle p(K)} of a field p {\displaystyle p} is the smallest positive integer p {\displaystyle p} such that every sum of squares in K {\displaystyle K} is a sum of p {\displaystyle p} squares.
In mathematics, the Pythagoras number or reduced height of a field describes the structure of the set of squares in the field. The Pythagoras number p ( K ) {\displaystyle p(K)} of a field p {\displaystyle p} is the smallest positive integer p {\displaystyle p} such that every sum of squares in K {\displaystyle K} is a sum of p {\displaystyle p} squares.
Source: Wikipedia "Pythagoras number" · CC BY-SA 4.0
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