Record ID | ia:ramanujanslostno0000andr |
Source | Internet Archive |
Download MARC XML | https://archive.org/download/ramanujanslostno0000andr/ramanujanslostno0000andr_marc.xml |
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008 120614s2012 nyuc ob 001 0 eng d
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100 1 $aAndrews, George E.,$d1938-
245 10 $aRamanujan's lost notebook.$nPart III /$cGeorge E. Andrews, Bruce C. Berndt.
260 $aNew York :$bSpringer,$c©2012.
300 $a1 online resource (xi, 435 pages) :$bportraits (some color)
336 $atext$btxt$2rdacontent
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505 00 $tIntroduction --$tRanks and Cranks, Part I --$tRanks and Cranks, Part II --$tRanks and Cranks, Part III --$tRamanujan's Unpublished Manuscript on the Partition and Tau Functions --$tTheorems about the Partition Function on Pages 189 and 182 --$tCongruences for Generalized Tau Functions on Page 178 --$tRamanujan's Forty Identities for the Rogers-Ramanujan Functions --$tCircular Summation --$tHighly Composite Numbers.
504 $aIncludes bibliographical references (pages 413-429) and index.
520 8 $aAnnotation$bIn 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plan to write on Ramanujans lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988.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 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
588 0 $aOnline resource; title from PDF title page (SpringerLink, viewed November 7, 2013).
600 10 $aRamanujan Aiyangar, Srinivasa,$d1887-1920.
650 0 $aMathematicians$zIndia$vBiography.
650 0 $aNumber theory.
650 0 $aFunctions.
650 6 $aMathématiciens$zInde$vBiographies.
650 6 $aThéorie des nombres.
650 6 $aFonctions (Mathématiques)
650 7 $afunctions (mathematics)$2aat
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600 17 $aRamanujan Aiyangar, Srinivasa,$d1887-1920.$2fast$0(OCoLC)fst00018044
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650 7 $aMathematicians.$2fast$0(OCoLC)fst01012154
650 7 $aNumber theory.$2fast$0(OCoLC)fst01041214
651 7 $aIndia.$2fast$0(OCoLC)fst01210276
653 4 $aMathematics.
653 4 $aNumber theory.
655 0 $aElectronic books.
655 2 $aBiography
655 4 $aElectronic books.
655 7 $aBiographies.$2fast$0(OCoLC)fst01919896
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700 1 $aBerndt, Bruce C.,$d1939-
776 08 $iPrint version:$aAndrews, George E., 1938-$tRamanujan's lost notebook.$dNew York ; London : Springer, 2005-$z9780387255293$w(DLC) 2005923547$w(OCoLC)60320109
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