In the spring of 1976, George Andrews of Pennsylvania country collage visited the library at Trinity collage, 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 was once quickly distinct, "Ramanujan's misplaced notebook." Its discovery has often been deemed the mathematical an identical of discovering Beethoven's 10th symphony.

This quantity is the fourth of five volumes that the authors plan to write down on Ramanujan’s misplaced notebook. In distinction to the first 3 books on Ramanujan's misplaced workstation, the fourth publication doesn't concentrate on q-series. lots of the entries tested during this quantity fall lower than the purviews of quantity idea and classical analysis. numerous incomplete manuscripts of Ramanujan released via Narosa with the misplaced pc are discussed. 3 of the partial manuscripts are on diophantine approximation, and others are in classical Fourier research and leading quantity theory. many of the entries in quantity thought fall lower than the umbrella of classical analytic quantity theory. might be the main fascinating entries are hooked up with the classical, unsolved circle and divisor problems.

Review from the second one volume:

"Fans of Ramanujan's arithmetic are absolute to be extremely joyful via this e-book. whereas a number of the content material is taken without delay from released papers, such a lot chapters include new fabric and a few formerly released proofs were enhanced. Many entries are only begging for extra examine and should absolutely be inspiring examine for many years to return. the following installment during this sequence is eagerly awaited."

- MathSciNet

Review from the 1st volume:

"Andrews and Berndt are to be congratulated at the activity they're doing. this is often the 1st step...on how one can an knowing of the paintings of the genius Ramanujan. it's going to act as an idea to destiny generations of mathematicians to take on a task that would by no means be complete."

- Gazette of the Australian Mathematical Society