a1 The University of Missouri at Rolla, Rolla, Missouri 65401, U.S.A.
In 1974 B. J. Birch  published a description of some manuscripts of Ramanujan which contained, among other things, a list of forty identities involving the Rogers-Ramanujan functions
At that time nine of these had been proven, and since then twenty-two more of them have been proven, fifteen of them by David Bressoud in his thesis . Bressoud gives a synopsis of the extant proofs, where he attributes proofs to H. B. C. Darling , L. J. Rogers , L. J. Mordell , and G. N. Watson .
(Received May 18 1988)