Acta Arithmetica · 2007 · 42 citations · 6 references
Natural SciencesMathematicsCombinatoricsDiscrete MathematicsNumber TheoryArithmetic GeometryCombinatorial Number TheorySum Of Two Squares Theorem
Abstract. For x ∈ Z let Tx denote the triangular number x(x + 1)/2. Following the recent approach of Z. W. Sun, we show that every natural number can be written in any of the following forms with x, y, z ∈ Z:
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Additive number theory: the classical bases
Choice Reviews Online · 1997 · 204 citations
Regular and semi-regular positive ternary quadratic forms
Burton W. Jones, Gordon Pall · Acta Mathematica · 1939 · 73 citations · Full text