Application of Modular Equations to some Quadratic Forms

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Authors

  • 29, Boag Koad, Thyagarayanagar Madras-17 ,IN

DOI:

https://doi.org/10.18311/jims/1960/16901

Abstract

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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Published

1960-06-01

How to Cite

Ananda-Rau, K. (1960). Application of Modular Equations to some Quadratic Forms. The Journal of the Indian Mathematical Society, 24(1-2), 77–130. https://doi.org/10.18311/jims/1960/16901