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 575
1 0 1 -1 0 1 -1 From this we find \{ \ =i ( j/ 5 \) =i (i 9 1 ) I since the sum of Cj, ..., Cy is au integral characteristic, it follows by the general theorem, that if the cAaracteristic Ml o 1 ) ^ added to each of C^, ..., Cj, aixd then the linear transformation given hy the matrij: he applied,… … Fio. 12. then the characteristics associated with the half-periods «°, m,...,«**•p, w**^,m will be, save for integer characteristics, respectively Xj, \, ..., Xjp, >2p + i ■> ^^i^ thereader can immediately verify by means of the rule given at the bottom of page 297 of thepresent volume. Ex.…
Geometry, Algebraic · Functions, Theta
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