000			01879nam a2200325Ia 4500
003			OSt
005			20250213164235.0
008			241112s9999 xx 000 0 und d
020			_a9789814689397 (hbk.) _c$ 223.00
040			_bENG _cIISER-BPR
041			_aENG
082			_a515.56 _bZHA _223rd
100			_aZhao, Jianqiang _91077
222			_aMathematics
245		0	_aMultiple zeta function, multiple polylogarithms and their special values
250			_a1st ed.
260			_aSingapore: _bWorld Scientific Publishing Co. Pte. Ltd., _cc2016
300			_axxi, 595p. : _bill. ; _c24cm
440			_aSeries on Number Theory and Its Applications _vVol. 12 _92591
504			_aIncludes appendices, bibliographic references, list of abbreviations, list of symbols and subject index.
520			_aThis is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and physicists who are interested in this current active area of research. The book will provide a detailed and comprehensive introduction to these objects, their fascinating properties and interesting relations to other mathematical subjects, and various generalizations such as their q-analogs and their finite versions (by taking partial sums modulo suitable prime powers). Historical notes and exercises are provided at the end of each chapter.
650			_aMathematics _92592
650			_aAnalysis _92593
650			_aSpecial functions _92594
650			_aZeta functions _92595
942			_cBK _2ddc
942			_2ddc
947			_a18756.53
948			_a22
999			_c4217 _d4217