Computing 𝑝-adic 𝐿-functions of totally real number fields

Roblot, Xavier-François

doi:10.1090/S0025-5718-2014-02889-5

Computing $p$-adic $L$-functions of totally real number fields
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by Xavier-François Roblot;

Math. Comp. 84 (2015), 831-874

DOI: https://doi.org/10.1090/S0025-5718-2014-02889-5

Published electronically: September 23, 2014

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Abstract:

We prove new explicit formulas for the $p$-adic $L$-functions of totally real number fields and show how these formulas can be used to compute values and representations of $p$-adic $L$-functions.

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