  The F-thresholds are characteristic p analogs of the jumping coefficients for
multiplier ideals in characteristic zero. In this article we give an
alternative description of the F-thresholds of an ideal in a regular and
F--finite ring $R$. This enables us to settle two open questions posed in
[Mustata, Takagi, Watanabe: F-thresholds and Bernstein-Sato polynomials],
namely we show that the F-thresholds are rational and discrete.
