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 464
this chapter, arebrought into evidence. Suppose that a function ^ exists whereby the Riemann surface, dissectedas in § 253, can be conformally represented upon the inside of a closedcurvilinear polygon, in the plane of ^, whose sides are arcs of circles*f-; to thefour sides, (a^), (a/), (6^), (6/),… … Then it is easily seen that if C be the value of ^ at the angular point G ofthe polygon, which corresponds to one of the singular points Cj, ..., C;i; on theRiemann surface, and D be the value of ^ at the other intersection:|: of thecircular arcs which contain the sides of the polygon meeting in C,…
Geometry, Algebraic · Functions, Theta
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