Theorem 16.1. Assuming that:

  • f∈K(E′) and g∈K(E)

  • div⁡(f)=n(T)−n(0)

  • ϕ∗f=gn

Then α(P)=f(P)(mod(K∗)n) for all P∈E;(K)∖{0,T}.