Rigid Analytic Modular Symbols and p-Adic L-functions

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Abstract

In all this chapter we fix an arbitrary number p.

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Notes

  1. 1.

    The very same module c(R) was denoted by \(c_{\mathbb {N}}(R)\) in Example 3.1.7. Here we shall not need to consider modules of sequences indexed by sets larger than \(\mathbb {N}\), so we drop the \(\mathbb {N}\) from the notation.

  2. 2.

    cf. Exercise 3.1.1.

  3. 3.

    For the definition of potentially orthonormalizable, cf. supra, Definition 3.1.6.

  4. 4.

    Another terminology calls them p-stabilizations.

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Bellaïche, J. (2021). Rigid Analytic Modular Symbols and p-Adic L-functions. In: The Eigenbook. Pathways in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-77263-5_6

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