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RAMANUJAN?S LOST NOTEBOOK IBD

BRUCE C BERNDT / GEORGE E ANDREWS
SPRINGER
12 / 2018
9783030085506
Inglés

Sinopsis

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, 'RamanujanâÇÖs lost notebook.' Its discovery has frequently been deemed the mathematical equivalent of finding BeethovenâÇÖs tenth symphony.This fifth and final installment of the authorsâÇÖ examination of RamanujanâÇÖs lost notebook focuses on the mock theta functions first introduced in RamanujanâÇÖs famous Last Letter. This volume proves all of the assertions about mock theta functions in the lost notebook and in the Last Letter, particularly the celebrated mock theta conjectures. Other topics feature RamanujanâÇÖs many elegant Euler products and the remaining entries on continued fractions not discussed in the preceding volumes.áReview from the second volume:'Fans of RamanujanâÇÖs 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.'- MathSciNetReview from the first volume:'Andrews and 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

PVP
173,66€