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Height pairings, exceptional zeros and Rubin’s formula: the multiplicative group
In this paper we prove a formula, much in the spirit of one due to Rubin, which expresses the leading coefficients of various p-adic L-functions in the presence of an exceptional zero in terms of Nekováˇr’s p-adic height pairings on his extended Selmer groups. In a particular case, the Rubin-style f
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