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We prove that the representations numbers of a ternary definite integralquadratic form defined over F_q[t], where F_q is a finite field of oddcharacteristic, determine its integral equivalence class when q is large enoughwith respect to its successive minima. Equivalently, such a quadratic form isdetermined up to integral isometry by its theta series.

Isospectral Definite Ternary F_q[t]-Lattices