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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 282

An illustration from Abel's theorem and the allied theory, including the theory of the theta functions, 1897, leaf 282
RE NOT DISTINCT. 257 value is, however, in the case of Figure 3, PiVs + +PkVs + <7i I dv^ - ^1 dv^s - (vi ^ + ei + |ti,i) dv, ^ -{p-l)v: J a., J bo J b. ■5) -1 A„A, + , [ J x,m J f , x,m //«.?», ,1 . J x,m + 9p dVs -llpj dVs - (Vp + Bp + ^Tp^p) dVs ,•) Up J bp J bp wherein the first row is that… … ^^-O %. ^Tp-^ ^■•::... ^^(P-A •-^^- :::::== the second row indicates that the integral is to be taken once positively roundthe left side* of the cut a^, the suffix h^ indicates a similar path for thecut 6i, and so on. If, as before, we put kg for the sum - a r a;, OT , 1 , , a;, J» r=l • br we…

Geometry, Algebraic · Functions, Theta

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