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Crystal Symmetry Viewed as Zeta Symmetry II

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The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Summary

In this paper, we continue our previous investigations on applications of the Epstein zeta-functions. We shall mostly state the results for the lattice zeta-functions, which can be immediately translated into those for the corresponding Epstein zeta-functions. We shall take up the generalized Chowla–Selberg (integral) formula and state many concrete special cases of this formula.

Mathematics Subject Classification (2000) 11F66, 11M26, 11M41

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Correspondence to Shigeru Kanemitsu .

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Dedicated to the memory of Professor Alladi Ramakrishnan

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Kanemitsu, S., Tsukada, H. (2010). Crystal Symmetry Viewed as Zeta Symmetry II. In: Alladi, K., Klauder, J., Rao, C. (eds) The Legacy of Alladi Ramakrishnan in the Mathematical Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6263-8_16

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