Abel's theorem in problems and solutions - School of Mathematics

192 Problems of Chapter 2
function Thus the branches are
The scheme of the Riemann surface of the function
built by the formal method, is shown in Figure 98. To obtain
the correct scheme (Figure 99) one has to identify the following coincident
branches: and and and
FIGURE 98
FIGURE 99 FIGURE 100
317. a) Let and be the single-valued continuous
branches of the function Thus and The
single-valued continuous branches of the function are therefore
One builds the scheme of the Riemann surface of the function