Zeta Functions, Topology and Quantum Physics

1. Front Matter

   Pages i-xv

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2. Göllnitz-Gordon Partitions with Weights and Parity Conditions

   • Krishnaswami Alladi, Alexander Berkovich

   Pages 1-17

3. Partition Identities for the Multiple Zeta Function

   • David M. Bradley

   Pages 19-29

4. A Perturbative Theory of the Evolution of the Center of Typhoons

   • Sergey Dobrokhotov, Evgeny Semenov, Brunello Tirozzi

   Pages 31-50

5. Algebraic Aspects of Multiple Zeta Values

   • Michael E. Hoffman

   Pages 51-73

6. On the Local Factor of the Zeta Function of Quadratic Orders

   • Masanobu Kaneko

   Pages 75-79

7. Sums Involving the Hurwitz Zeta-Function Values

   • S. Kanemitsu, A. Schinzel, Y. Tanigawa

   Pages 81-90

8. Crystal Symmetry Viewed as Zeta Symmetry

   • Shigeru Kanemitsu, Yoshio Tanigawa, Haruo Tsukada, Masami Yoshimoto

   Pages 91-129

9. Sum Relations for Multiple Zeta Values

   • Yasuo Ohno

   Pages 131-144

10. The Sum Formula for Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation

    • Okuda Jun-ichi, Ueno Kimio

    Pages 145-170

11. Zeta Functions Over Zeros of General Zeta and L-Functions

    • André Voros

    Pages 171-196

12. Hopf Algebras and Transcendental Numbers

    • Michel Waldschmidt

    Pages 197-219

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.

• Identity
• Parity
• algebra
• equation
• function
• quantum physics
• topology

• Kinki University, Japan

  Takashi Aoki, Shigeru Kanemitsu, Mikio Nakahara, Yasuo Ohno

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