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Ramanujan's Lost Notebook - Part III (Paperback, 2012 ed.)
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Ramanujan's Lost Notebook - Part III (Paperback, 2012 ed.)
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In the spring of 1976, George Andrews of Pennsylvania State
University visited the library at Trinity College, Cambridge to
examine the papers of the late G.N. Watson. Among these papers,
Andrews discovered a sheaf of 138 pages in the handwriting of
Srinivasa Ramanujan. This manuscript was soon designated,
"Ramanujan's lost notebook." Its discovery has frequently been
deemed the mathematical equivalent of finding Beethoven's tenth
symphony. This volume is the third of five volumes that the authors
plan to write on Ramanujan's lost notebook and other manuscripts
and fragments found in The Lost Notebook and Other Unpublished
Papers, published by Narosa in 1988. The ordinary partition
function p(n) is the focus of this third volume. In particular,
ranks, cranks, and congruences for p(n) are in the spotlight. Other
topics include the Ramanujan tau-function, the Rogers-Ramanujan
functions, highly composite numbers, and sums of powers of theta
functions. Review from the second volume: "Fans of Ramanujan's
mathematics are sure to be delighted by this book. While some of
the content is taken directly from published papers, most chapters
contain new material and some previously published proofs have been
improved. Many entries are just begging for further study and will
undoubtedly be inspiring research for decades to come. The next
installment in this series is eagerly awaited." - MathSciNet Review
from the first volume: "Andrews a nd Berndt are to be congratulated
on the job they are doing. This is the first step...on the way to
an understanding of the work of the genius Ramanujan. It should act
as an inspiration to future generations of mathematicians to tackle
a job that will never be complete." - Gazette of the Australian
Mathematical Society
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