000 02936nam a22004695i 4500
001 978-0-387-24981-0
003 DE-He213
005 20250710083932.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780387249810
_a99780387249810
024 7 _a10.1007/b106450
_2doi
082 0 4 _a512.7
_223
100 1 _aAoki, Takashi.
_eeditor.
245 1 0 _aZeta Functions, Topology and Quantum Physics
_h[recurso electrónico] /
_cedited by Takashi Aoki, Shigeru Kanemitsu, Mikio Nakahara, Yasuo Ohno.
264 1 _aBoston, MA :
_bSpringer US,
_c2005.
300 _aXV, 219 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aDevelopments in Mathematics,
_x1389-2177 ;
_v14
505 0 _aGöllnitz-Gordon Partitions with Weights and Parity Conditions -- Partition Identities for the Multiple Zeta Function -- A Perturbative Theory of the Evolution of the Center of Typhoons -- Algebraic Aspects of Multiple Zeta Values -- On the Local Factor of the Zeta Function of Quadratic Orders -- Sums Involving the Hurwitz Zeta-Function Values -- Crystal Symmetry Viewed as Zeta Symmetry -- Sum Relations for Multiple Zeta Values -- The Sum Formula for Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation -- Zeta Functions Over Zeros of General Zeta and L-Functions -- Hopf Algebras and Transcendental Numbers.
520 _aThis volume focuses on various aspects of zeta functions: multiple zeta values, Ohno's relations, the Riemann hypothesis, L-functions, polylogarithms, and their interplay with other disciplines. Eleven articles on recent advances are written by outstanding experts in the above-mentioned fields. Each article starts with an introductory survey leading to the exciting new research developments accomplished by the contributors. This book will become the major standard reference on the recent advances on zeta functions. Audience This book, primarily intended for researchers in number theory and mathematical physics, is also accessible to graduate students in these fields.
650 0 _aMATHEMATICS.
650 0 _aNUMBER THEORY.
650 0 _aMATHEMATICAL PHYSICS.
650 1 4 _aMATHEMATICS.
650 2 4 _aNUMBER THEORY.
650 2 4 _aMATHEMATICAL METHODS IN PHYSICS.
700 1 _aKanemitsu, Shigeru.
_eeditor.
700 1 _aNakahara, Mikio.
_eeditor.
700 1 _aOhno, Yasuo.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387249728
830 0 _aDevelopments in Mathematics,
_x1389-2177 ;
_v14
856 4 0 _uhttp://dx.doi.org/10.1007/b106450
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c56370
_d56370