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Threshold amplitudes are considered for $n$-particle production in arbitraryscalar theory. It is found that, like in $\phi ^4$, leading-$n$ corrections tothe tree level amplitudes, being summed over all loops, exponentiate. Thisresult provides more evidence in favor of the conjecture on the exponentialbehavior of the multiparticle amplitudes.Comment: 9 pages, latex, 3 latex figure

MULTIPARTICLE THRESHOLD AMPLITUDES EXPONENTIATE IN ARBITRARY SCALAR THEORIES