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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 322

An illustration from Abel's theorem and the allied theory, including the theory of the theta functions, 1897, leaf 322
heta functions, Phil. Tran.^., 1880, and Crelle,Bd. 83, 84, 85, 87, 88; Bolza, Gottinger Nachrichtcn 1894, p. 268. The addition equation isconsidered in a dissertation by Hancock, Berlin, 181(4 (Bernstein). For further references see thelater chapters of this volume which deal with theta functions.… … In the general case, in considering the zeros of the function ^ (w^ — e),we were led to associate with the place m, other p places Wj, ..., nip, suchthat ^(u^) has 7ni, ..., nip for its zeros (Chap. X, § 179). In this case weshall always take m at the branch place a, that is at infinity. It can…

Geometry, Algebraic · Functions, Theta

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