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008			150903s2012 xxu| o |||| 0|eng d
020			_a9781461438106 _99781461438106
024	7		_a10.1007/9781461438106 _2doi
035			_avtls000341118
039		9	_a201509030833 _bVLOAD _c201405050224 _dVLOAD _y201402061051 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA241-247.5
100	1		_aAndrews, George E. _eautor _9302553
245	1	0	_aRamanujan's Lost Notebook : _bPart III / _cby George E. Andrews, Bruce C. Berndt.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2012.
300			_axI, 435 páginas 4 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aPreface -- Introduction -- 1. Ranks and Cranks, Part I -- 2. Ranks and Cranks, Part II -- 3. Ranks and Cranks, Part III -- 4. Ramanujan's Unpublished Manuscript on the Partition and Tau Functions -- 5. Theorems about the Partition Function on Pages 189 and 182 -- 6. Congruences for Generalized Tau Functions on Page 178 -- 7. Ramanujan's Forty Identities for the Rogers-Ramanujan Functions -- 8. Circular Summation -- 9. Highly Composite Numbers -- Scratch Work -- Location Guide -- Provenance -- References.
520			_aIn 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plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988.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 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
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aBerndt, Bruce C. _eautor _9303495
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781461438090
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4614-3810-6 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c288754 _d288754