# Ramanujan's ternary quadratic form

@article{Ono1997RamanujansTQ,
title={Ramanujan's ternary quadratic form},
author={Ken Ono and Kannan Soundararajan},
journal={Inventiones mathematicae},
year={1997},
volume={130},
pages={415-454}
}
• Published 21 November 1997
• Mathematics
• Inventiones mathematicae
do not seem to obey any simple law.” Following I. Kaplansky, we call a non-negative integer N eligible for a ternary form f(x, y, z) if there are no congruence conditions prohibiting f from representing N. By the classical theory of quadratic forms, it is well known that any given genus of positive definite ternary quadratic forms represents every eligible integer. Consequently if a genus consists of a single class with representative f(x, y, z), then f represents every eligible integer. In the…
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