Author: G. Gallavotti, G. Gentile Title: Majorant series convergence for twistless KAM tori Abstract: A selfcontained proof of the KAM theorem in the Thirring model is discussed, completely relaxing the ``strong diophantine property'' hypothesis used in previous papers. In Ergodic theory and dynamical systems, {\bf 15}, p. 857--869, 1995 Keywords: KAM, invariant tori, classical mechanics, perturbation theory, chaos Giovanni Gallavotti Fisica, Universita' di Roma La Sapienza, P.le Moro 2, 00185, Roma, Italia. e-mail giovanni@ipparco.roma1.infn.it tel. 6-49914370, fax 6-4957697 Home page: http://www.math.rutgers.edu/~giovanni