000 | 03201nam a22004815i 4500 | ||
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001 | 978-0-387-78510-3 | ||
003 | DE-He213 | ||
005 | 20161121231210.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2008 xxu| s |||| 0|eng d | ||
020 |
_a9780387785103 _9978-0-387-78510-3 |
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024 | 7 |
_a10.1007/978-0-387-78510-3 _2doi |
|
050 | 4 | _aQA241-247.5 | |
072 | 7 |
_aPBH _2bicssc |
|
072 | 7 |
_aMAT022000 _2bisacsh |
|
082 | 0 | 4 |
_a512.7 _223 |
245 | 1 | 0 |
_aSurveys in Number Theory _h[electronic resource] / _cedited by Krishnaswami Alladi. |
264 | 1 |
_aNew York, NY : _bSpringer New York, _c2008. |
|
300 |
_aX, 188 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aDevelopments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, _x1389-2177 ; _v17 |
|
505 | 0 | _aA Survey of Multipartitions Congruences and Identities -- Koshliakovs Formula and Guinands Formula in Ramanujans Lost Notebook -- Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas -- Theta Functions in Complex Analysis and Number Theory -- Inverse Problems for Representation Functions in Additive Number Theory -- Mock Theta Functions Ranks and Maass Forms -- Elliptic Functions and Transcendence. | |
520 | _aNumber theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D. M. Bressoud), theta functions in complex analysis (H. M. Farkas), representation functions in additive number theory (M. B. Nathanson), and mock theta functions, ranks, and Maass forms (K. Ono), and elliptic functions (M. Waldschmidt). All of the surveys were outgrowths of featured talks given during the Special Year in Number Theory and Combinatorics at the University of Florida, Gainesville, 2004-2005, and describe major progress on a broad range of topics. This volume is intended for mathematicians and graduate students interested in number theory and related areas. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aFunctions of complex variables. | |
650 | 0 | _aSpecial functions. | |
650 | 0 | _aNumber theory. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aNumber Theory. |
650 | 2 | 4 | _aSpecial Functions. |
650 | 2 | 4 | _aFunctions of a Complex Variable. |
700 | 1 |
_aAlladi, Krishnaswami. _eeditor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9780387785097 |
830 | 0 |
_aDevelopments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, _x1389-2177 ; _v17 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-387-78510-3 |
912 | _aZDB-2-SMA | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c510011 _d510011 |