Abstract
The absolute CM-period symbol was defined by the second author using the multiple gamma function. Conjecturally it coincides with Shimura’s period symbol up to multiplication by algebraic numbers. In this paper we define a p-adic analogue of the absolute CM-period symbol using the p-adic multiple gamma function studied by the first author. We present an explicit conjecture with solid evidence.
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Kashio, T., Yoshida, H. (2005). On the p-adic absolute CM-period symbol. In: Tandon, R. (eds) Algebra and Number Theory. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-23-1_25
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DOI: https://doi.org/10.1007/978-93-86279-23-1_25
Publisher Name: Hindustan Book Agency, Gurgaon
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