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A generalization of the Ross symbols in higher K-groups and hypergeometric functions II
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abstract
This is a sequel of the paper "A generalization of the Ross symbols in higher K-groups and hypergeometric functions I" where we introduced higher Ross symbols in higher $K$-groups of the hypergeometric schemes, and discussed the Beilinson regulators. In this paper we give its p-adic counterpart and an application to the $p$-adic Beilinson conjecture for K3 surfaces of Picard number 20.
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Transformation formula of Dwork's $p$-adic hypergeometric function
For a in N^{-1}Z with p not dividing N and 0<a<1, Dwork's p-adic hypergeometric function satisfies F(t)=((-1)^(d+1)t)^l F(t^{-1}) for all d, with a precise sign rule when p=2.
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