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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 46

An illustration from Abel's theorem and the allied theory, including the theory of the theta functions, 1897, leaf 46
direction that the interior of the surface is always on the left hand, is equalto the value taken round the sole infinity, namely the place a, in a counter-clockwise direction. Round the pair a,., br the value obtained is fir I dv. , taken once positively in the direction of the arrow head round… … The relations indicated by the figure for the signs adopted for coir, Tir andthe periods of T will be preserved throughout the book. Since Wi,. is zero except when r = i, the sum of these p contour integralsis —(Oi^iQ^i. Taken in a counter-clockwise direction, round the pole of T^ ,where r = -- +…

Geometry, Algebraic · Functions, Theta

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