On the Addition Theorem for Multiply Periodic Functions
نویسنده
چکیده
On the face of it, part (i) is a particular case of part (ii), and the latter part of (iii), but actually all three parts are algebraically equivalent by the following elementary argument. For given periods, we introduce the closed Riemann surface V2 of genus p = l on which our meromorphic functions are suitably defined, and we take it as known that on such or any other closed Riemann surface of any genus p = 0, any two meromorphic functions are algebraically dependent one on the other. That is to say, if for any/(z) ^con F2 we introduce the function field
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