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ℒ-invariants and logarithm derivatives of eigenvalues of Frobenius

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Abstract

Let K be a p-adic local field. We study a special kind of p-adic Galois representations of it. These representations are similar to the Galois representations occurred in the exceptional zero conjecture for modular forms. In particular, we verify that a formula of Colmez can be generalized to our case. We also include a degenerated version of Colmez’s formula.

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Authors and Affiliations

  1. Beijing International Center for Mathematical Research, Peking University, Beijing, 100871, China

    YuanCao Zhang

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  1. YuanCao Zhang
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Correspondence to YuanCao Zhang.

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Zhang, Y. ℒ-invariants and logarithm derivatives of eigenvalues of Frobenius. Sci. China Math. 57, 1587–1604 (2014). https://doi.org/10.1007/s11425-014-4810-6

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  • DOI: https://doi.org/10.1007/s11425-014-4810-6

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