DEFORMATIONS OF DIOPHANTINE SYSTEMS FOR QUADRATIC FORMS OF THE ROOT LATTICES An


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Abstract

The paper considers a method of deformation of Diophantine quadratic systems in the n-dimensional root lattices An, which allows one to obtain sections of matrix quadratic equations Q[X] = A for quadratic forms Q of the lattices An and formulas for the number of form representations by the corresponding sections. Bibliography: 10 titles.

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