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Abel's theorem and the allied theory, including the theory of the theta functions (1897)

Baker, H. F. (Henry Frederick), 1866-1956 · Cambridge : University Press · leaf 323

An illustration from Abel's theorem and the allied theory, including the theory of the theta functions, 1897, leaf 323
ir times from right toleft, so that lUr is cither -1-1 or —1, or 0, and cross the loop {B,) iiir timesfrom right to left, we have 6, i 7?J,&),._ I -f- -f VlpWr, p + ?«/&),■, 1 + + mpwr,p. Thus, for instance, in accordance with this statement we should have«^^= — ft),. J, and w*= ft);.^ 1 —… … sheet which goes first to a point P on the left-hand side of the loop (6,),and thence, following a course coinciding roughly with the right-hand side ofthe loop (tti), goes to the point P, opposite to P on the right-hand side of(6,), and thence, from P, goes to a,. Thus we have a,, c, P, r, „ , «,,…

Geometry, Algebraic · Functions, Theta

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