Could any one tell me with an example, what is the relation between Order and Multiplicity of a holomorphic function on Riemann Surface,and how this formuale comes?
for example let $p\in X$ be not a pole for $f$, and $f(p)=z_0$ then $f(z)-z_o$ has a simple zero at $p$ so $mult_p(f-f(p))=1$,$ord_p(f-f(p))=ord_p(f)-ord_p(f(p))=1+0?$