000 03201nam a22004815i 4500
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
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.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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