Z[(-2)^(1/2)]中两整数的平方差

The Difference of Two Squares of Integers in Z[(-2)^(1/2)]

给出了[-2]中的非零整数表示为[-2]中的两整数平方差的表示种数,还给出了[-2]中的非零整数表示为x2+2y2(其中x,y∈[-2])形式的表示种数.

This paper presents the number n of representations of the nonzero integer z∈ Z[√-2]] as the difference of two squares of integers in Z[√-2], and the number n of representations of the nonzero integer z∈ Z[√-2] as z=x^2＋2y^2, wherex, y∈x^2＋2y^2.