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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Dedicated to Professor Yukio Ueda on his seventieth birthday
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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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DOI: https://doi.org/10.1007/0-387-24981-8_7
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