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020			_a9780387777665 _99780387777665
024	7		_a10.1007/b13290 _2doi
035			_avtls000332865
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040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
100	1		_aAndrews, George E. _eautor _9302553
245	1	0	_aRamanujan's Lost Notebook : _bPart II / _cby George E. Andrews, Bruce C. Berndt.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_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		_aThe Heine Transformation -- The Sears– Thomae Transformation -- Bilateral Series -- Well-Poised Series -- Bailey’s Lemma and Theta Expansions -- Partial Theta Functions -- Special Identities -- Theta Function Identities -- Ramanujan’s Cubic Analogue of the Classical Ramanujan–Weber Class Invariants -- Miscellaneous Results on Elliptic Functions and Theta Functions -- Formulas for the Power Series Coefficients of Certain Quotients of Eisenstein Series -- Two Letters on Eisenstein Series Written from Matlock House -- Eisenstein Series and Modular Equations -- Series Representable in Terms of Eisenstein Series -- Eisenstein Series and Approximations to ? -- Miscellaneous Results on Eisenstein Series.
520			_aThis volume is the second of approximately four volumes that the authors plan to write on Ramanujan’s lost notebook, which is broadly interpreted to include all material published in The Lost Notebook and Other Unpublished Papers in 1988. The primary topics addressed in the authors’ second volume on the lost notebook are q-series, Eisenstein series, and theta functions. Most of the entries on q-series are located in the heart of the original lost notebook, while the entries on Eisenstein series are either scattered in the lost notebook or are found in letters that Ramanujan wrote to G.H. Hardy from nursing homes. About Ramanujan's Lost Notebook, Volume I: "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 "...the results are organized topically with cross-references to the identities as they appear in the original Ramanujan manuscript. Particularly helpful are the extensive references, indicating where in the literature these results have been proven or independently discovered as well as where and how they have been used." - Bulletin of the American Mathematical Society "The mathematics community owes a huge debt of gratitude to Andrews and Berndt for undertaking the monumental task of producing a coherent presentation along with complete proofs of the chaotically written mathematical thoughts of Ramanujan during the last year of his life. Some 85 years after his death, beautiful "new" and useful results of Ramanujan continue to be brought to light." - Mathematical Reviews
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: _z9780387777658
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/b13290 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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