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Crystal Symmetry Viewed as Zeta Symmetry

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Book cover Zeta Functions, Topology and Quantum Physics

Part of the book series: Developments in Mathematics ((DEVM,volume 14))

Abstract

In this paper we study two kinds of energy invariants — the Madelung constant and the screened Coulomb potential associated to a crystal lattice though the lattice zeta-function, which is manifested as the Epstein zeta-function. We take into account the lattice structure (crystal symmetry) in our study through the functional equation of the Epstein zeta-function (zeta symmetry).

The authors are supported by Grant-in-Aid for Scientific Research No. 14540051, 14540021 and 14005245 respectively.

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Author information

Authors and Affiliations

  1. Graduate School of Advanced Technology, University of Kinki, Iizuka, Fukuoka, 820-8555, Japan

    Shigeru Kanemitsu & Haruo Tsukada

  2. Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan

    Yoshio Tanigawa & Masami Yoshimoto

Authors
  1. Shigeru Kanemitsu
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  2. Yoshio Tanigawa
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  3. Haruo Tsukada
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  4. Masami Yoshimoto
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Editor information

Editors and Affiliations

  1. Kinki University, Japan

    Takashi Aoki , Shigeru Kanemitsu , Mikio Nakahara  & Yasuo Ohno , ,  & 

Additional information

Dedicated to Professor Yukio Ueda on his seventieth birthday

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© 2005 Springer Science + Business Media, Inc.

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Kanemitsu, S., Tanigawa, Y., Tsukada, H., Yoshimoto, M. (2005). Crystal Symmetry Viewed as Zeta Symmetry. In: Aoki, T., Kanemitsu, S., Nakahara, M., Ohno, Y. (eds) Zeta Functions, Topology and Quantum Physics. Developments in Mathematics, vol 14. Springer, Boston, MA. https://doi.org/10.1007/0-387-24981-8_7

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