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020 _a9781461400288
_99781461400288
024 7 _a10.1007/9781461400288
_2doi
035 _avtls000340169
039 9 _a201509030313
_bVLOAD
_c201404300411
_dVLOAD
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_zstaff
040 _aMX-SnUAN
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_cMX-SnUAN
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050 4 _aQA241-247.5
100 1 _aAlladi, Krishnaswami.
_eeditor.
_9303757
245 1 0 _aPartitions, q-Series, and Modular Forms /
_cedited by Krishnaswami Alladi, Frank Garvan.
264 1 _aNew York, NY :
_bSpringer New York,
_c2012.
300 _axii, 224 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aDevelopments in Mathematics,
_x1389-2177 ;
_v23
500 _aSpringer eBooks
505 0 _a-Preface (K. Alladi and F. Garvan) -- 1. MacMahon's dream (G. E. Andrews and P. Paule) -- 2. Ramanujan's elementary method in partition congruences (B. Berndt, C. Gugg, and S. Kim) -- 3. Coefficients of harmonic Maass forms (K. Bringmann and K. Ono) -- 4. On the growth of restricted partition functions (E. R. Canfield and H. Wilf) -- 5. On applications of roots of unity to product identities (Z. Cao) -- 6. Lecture hall sequences, q-series, and asymmetric partition identities (S. Corteel, C. Savage and A. Sills) -- 7. Generalizations of Hutchinson's curve and the Thomae formula (H. Farkas) -- 8. On the parity of the Rogers-Ramanujan coefficients (B. Gordon) -- 9. A survey of the classical mock theta functions (B. Gordon and R. McIntosh) -- 10. An application of the Cauchy-Sylvester theorem on compound determinants to a BC_n Jackson integral (M. Ito and S. Okada) -- 11. Multiple generalizations of q-series identities found in Ramanujan's Lost Notebook (Y. Kajihara) -- 12. Non-terminating q-Whipple transformations for basic hypergeometric series in U(n) (S. C. Milne and J. W. Newcomb).            .
520 _aThis book contains a unique collection of both research and survey papers written by an international group of some of the world's experts on partitions, q-series, and modular forms, as outgrowths of a conference held at the University of Florida, Gainesville in March 2008. The success of this conference has led to annual year-long programs in Algebra, Number Theory, and Combinatorics (ANTC) at the university. A common theme in the book is the study of q-series, an area which in recent years has witnessed dramatic advances having significant impact on a variety of fields within and outside of mathematics such as physics. Most major aspects of the modern theory of q-series and how they relate to number theory, combinatorics, and special functions are represented in this volume. Topics include the theory of partitions via computer algebra, elementary asymptotic methods; expositions on Ramanujan's mock theta-functions emphasizing the classical aspects as well as the recent exciting connections with the theory of harmonic Maass forms; congruences for modular forms; a study of theta-functions from elementary, function-theoretic and Riemann surface viewpoints; and a systematic analysis of multiple basic hypergeometric functions associated with root systems of Lie algebras.  The broad range of topics covered in this volume will be of interest to both researchers and graduate students who want to learn of recent developments in the theory of partitions, q-series and modular forms and their far reaching impact on diverse areas of mathematics.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aGarvan, Frank.
_eeditor.
_9315675
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9781461400271
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4614-0028-8
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c286795
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