000			03966nam a22005175i 4500
001			978-1-4614-7488-3
003			DE-He213
005			20140220082829.0
007			cr nn 008mamaa
008			130807s2013 xxu| s |||| 0|eng d
020			_a9781461474883 _9978-1-4614-7488-3
024	7		_a10.1007/978-1-4614-7488-3 _2doi
050		4	_aQA241-247.5
072		7	_aPBH _2bicssc
072		7	_aMAT022000 _2bisacsh
082	0	4	_a512.7 _223
100	1		_aAlladi, Krishnaswami. _eeditor.
245	1	0	_aQuadratic and Higher Degree Forms _h[electronic resource] / _cedited by Krishnaswami Alladi, Manjul Bhargava, David Savitt, Pham Huu Tiep.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aIX, 298 p. 1 illus. _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, _x1389-2177 ; _v31
505	0		_aPreface -- Toy Models for D. H. Lehmer's Conjecture II (E. Bannai, T. Miezaki) -- On the Representation of an Integer by X2+Y2+Z2 and the Modular Equations of Degree 3 and 5 (A. Berkovich) -- Almost Universal Ternary Sums of Squares and Triangular Numbers (W. Chan, A. Haensch) -- Weighted Generating Functions for Type II Lattices and Codes (N. Elkies, S. Kominers) -- Quadratic and Automorphic Forms (J. Hanke) -- Integral Positive Ternary Quadratic Forms (W. Jagy) -- Some Aspects of the Algebraic Theory of Quadratic Forms (R. Parimala) -- On the Length of Binary Forms (B. Reznick) -- Representation of Quadratic Forms by Integral Quadratic Forms (R. Schulze-Pillot) -- Identifying the Matrix Ring (J. Voight).
520			_aIn the last decade, the areas of quadratic and higher degree forms have witnessed  dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009, two at the University of Florida and one at the Arizona Winter School.  The volume also includes papers from the two focused weeks on quadratic forms and integral lattices at the University of Florida in 2010.Topics discussed include the links between quadratic forms and automorphic forms, representation of integers and forms by quadratic forms, connections between quadratic forms and lattices,  and algorithms for quaternion algebras  and quadratic forms. The book will be of interest to graduate students and mathematicians wishing to study quadratic and higher degree forms, as well as to established researchers in these areas. Quadratic and Higher Degree Forms contains research and semi-expository papers that stem from the presentations at conferences at the University of Florida as well as survey lectures on quadratic forms based on the instructional workshop for graduate students held at the Arizona Winter School. The survey papers in the volume provide an excellent introduction to various aspects of the theory of quadratic forms starting from the basic concepts and provide a glimpse of some of the exciting questions currently being investigated. The research and expository papers present the latest advances on quadratic and higher degree forms and their connections with various branches of mathematics.
650		0	_aMathematics.
650		0	_aFunctions, special.
650		0	_aCombinatorics.
650		0	_aNumber theory.
650	1	4	_aMathematics.
650	2	4	_aNumber Theory.
650	2	4	_aCombinatorics.
650	2	4	_aSpecial Functions.
700	1		_aBhargava, Manjul. _eeditor.
700	1		_aSavitt, David. _eeditor.
700	1		_aTiep, Pham Huu. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461474876
830		0	_aDevelopments in Mathematics, _x1389-2177 ; _v31
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-7488-3
912			_aZDB-2-SMA
999			_c95936 _d95936