Zeta Functions, Topology and Quantum Physics (eBook)

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2008 | 2005
XV, 219 Seiten
Springer US (Verlag)
978-0-387-24981-0 (ISBN)

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This volume contains papers by invited speakers of the symposium 'Zeta Functions, Topology and Quantum Physics' held at Kinki U- versity in Osaka, Japan, during the period of March 3-6, 2003. The aims of this symposium were to establish mutual understanding and to exchange ideas among researchers working in various fields which have relation to zeta functions and zeta values. We are very happy to add this volume to the series Developments in Mathematics from Springer. In this respect, Professor Krishnaswami Alladi helped us a lot by showing his keen and enthusiastic interest in publishing this volume and by contributing his paper with Alexander Berkovich. We gratefully acknowledge financial support from Kinki University. We would like to thank Professor Megumu Munakata, Vice-Rector of Kinki University, and Professor Nobuki Kawashima, Director of School of Interdisciplinary Studies of Science and Engineering, Kinki Univ- sity, for their interest and support. We also thank John Martindale of Springer for his excellent editorial work.
This volume contains papers by invited speakers of the symposium "e;Zeta Functions, Topology and Quantum Physics"e; held at Kinki U- versity in Osaka, Japan, during the period of March 3-6, 2003. The aims of this symposium were to establish mutual understanding and to exchange ideas among researchers working in various fields which have relation to zeta functions and zeta values. We are very happy to add this volume to the series Developments in Mathematics from Springer. In this respect, Professor Krishnaswami Alladi helped us a lot by showing his keen and enthusiastic interest in publishing this volume and by contributing his paper with Alexander Berkovich. We gratefully acknowledge financial support from Kinki University. We would like to thank Professor Megumu Munakata, Vice-Rector of Kinki University, and Professor Nobuki Kawashima, Director of School of Interdisciplinary Studies of Science and Engineering, Kinki Univ- sity, for their interest and support. We also thank John Martindale of Springer for his excellent editorial work.

Contents 7
Preface 10
List of participants 13
Gollnitz-Gordon partitions with weights and parity conditions 15
Partition Identities for the Multiple Zeta Function 32
A perturbative theory of the evolution of the center of typhoons 43
Algebraic Aspects of Multiple Zeta Values 63
On the local factor of the zeta function of quadratic orders 86
Sums involving the Hurwitz zeta-function values 91
Crystal Symmetry Viewed as Zeta Symmetry 101
The Sum Formula for Multiple Zeta Values 154
Zeta functions over zeros of general zeta and L-functions 180
Hopf Algebras and Transcendental Numbers 206

Erscheint lt. Verlag 10.5.2008
Reihe/Serie Developments in Mathematics
Developments in Mathematics
Zusatzinfo XV, 219 p.
Verlagsort New York
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Statistik
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Naturwissenschaften Physik / Astronomie
Technik
Schlagworte Algebra • Equation • Function • Identity • Parity • Quantum Physics • Topology
ISBN-10 0-387-24981-8 / 0387249818
ISBN-13 978-0-387-24981-0 / 9780387249810
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