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

Solutions 185
sought is shown in Figure 77 (the Riemann surface is shown in Figure
122).
c) See Figure 78. Hint.
FIGURE 76
FIGURE 77 FIGURE 78
305. The single-valued continuous branches of the function defined
on the entire plane, are When one passes
through the point changes by and by i.e., the
value of the function does not change. The scheme sought consists
of two disjoints sheets.
306. The problem is solved in the same way as Problem 304. a)
See Figure 79. Hint. b) See Figure
80 (the Riemann surface is shown in Figure 123). c) See Figure 81.
d) See Figure 82 (the Riemann surface is shown in Figure 124). Hint.
e) See Figure 83 (the Riemann
surface is shown in Figure 125). Hint.
FIGURE 79 FIGURE 80