By George E. Andrews

In the spring of 1976, George Andrews of Pennsylvania country college visited the library at Trinity university, Cambridge, to check the papers of the past due G.N. Watson. between those papers, Andrews came upon a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript used to be quickly distinct, "Ramanujan's misplaced notebook." Its discovery has usually been deemed the mathematical similar of discovering Beethoven's 10th symphony.

The "lost computing device" includes substantial fabric on mock theta features and so certainly emanates from the final 12 months of Ramanujan's existence. it's going to be emphasised that the cloth on mock theta features may be Ramanujan's private paintings. Mathematicians are most likely a number of a long time clear of a whole knowing of these capabilities. greater than 1/2 the cloth within the ebook is on q-series, together with mock theta services; the remainder half bargains with theta functionality identities, modular equations, incomplete elliptic integrals of the 1st type and different integrals of theta services, Eisenstein sequence, specific values of theta services, the Rogers-Ramanujan persisted fraction, different q-continued fractions, different integrals, and components of Hecke's thought of modular forms.