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Legendre's Equation

Legendre's Equation

Paperback

Algebra

Currently unavailable to order

ISBN10: 6131310572
ISBN13: 9786131310577
Publisher: Vdm Verlag Dr Mller Ag & Co Kg
Pages: 106
Weight: 0.37
Height: 0.25 Width: 9.02 Depth: 6.00
Language: English
High Quality Content by WIKIPEDIA articles! In mathematics, Legendre's equation is the Diophantine equation ax2 + by2 + cz2 = 0. The equation is named for Adrien Marie Legendre who proved in 1785 that it is solvable in integers x, y, z, not all zero, if and only if bc, ca and ab are quadratic residues modulo a, b and c, respectively, where a, b, c are nonzero, squarefree, pairwise relatively prime integers, not all positive or all negative .

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Algebra