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We present an analysis of a system of weakly coupled Hubbard chains based oncombining an exact study of spectral functions of the uncoupled chain systemwith a renormalization group method for the coupled chains. For low values ofthe onsite repulsion $U$ and of the doping $\delta$, the leading instability istowards a superconducting state. The process includes excited states above asmall correlation pseudogap. Similar features appear in extended Hubbard modelsin the vicinity of commensurate fillings. Our theoretical predictions areconsistent with the phase diagram observed in the (TMTTF)$_2$X and (TMTSF)$_2$Xseries of organic compounds.Comment: 7 pages, 2 figure

Superconductivity driven by chain coupling and electronic correlations