## Infinitesimal deformations and the $\ell$-invariant

### Summary

We give a formula for the generalized Greenberg's $\ell$-invariant which was constructed in [Zbl 05994421] in terms of derivatives of eigenvalues of Frobenius.

11R23, 11F80

### Keywords/Phrases

$(\varphi, \Gamma)$-module, $L$-function, $p$-adic representation