classical mechanics - What's the name of the symmetry $ L to L + frac{d Lambda}{dt}$?

In the Lagrangian formulation of Classical Mechanics, we have the freedom to add a total time derivative of an arbitrary function $\Lambda$ to the Lagrangian:

$$ L \to L + \frac{d \Lambda}{dt} . $$

Does this symmetry of the Lagrangian have any particular name?

Answer

Some authors call that a gauge transformation of the Lagrangian function. Others, don't give any specific name and may object to the previous one.

For a reference for the former denomination, see for instance F. Scheck, Mechanics, Springer, 2010.