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Application of Modular Equations to some Quadratic Forms
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After the discovery by Jacobi of the identity which gives the number of representations of a number as a sum of four squares, interest naturally arose in the more general problem of finding the number of ways in which a number can be expressed in the form ax12 + bx22+ cx32 + dx42, where a, b, c, d are given positive integers and xx, x2, xs, xt are integral variables.
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