[PDF.49zp] The Theory of Jacobi Forms (Progress in Mathematics)

The Theory of Jacobi Forms (Progress in Mathematics)

[PDF.ss62] The Theory of Jacobi Forms (Progress in Mathematics)

The Theory of Jacobi  Martin Eichler, Don Zagier epub
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 | #3662908 in Books |  2013-09-14 | Original language:English | PDF # 1 |  10.00 x.34 x7.00l,.70 | File type: PDF | 150 pages

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The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL ( ) to be a holomorphic function 2 (JC = upper half-plane) satisfying the t\-10 transformation eouations 2Tiimcz. k CT +d a-r +b z ) (1) ( (cT+d) e cp(T, z) cp CT +d ' CT +d (2) rjl(T, z+h+]l) and having a Four.ier expansion of the form 00 e2Tii(nT +rz) (3) cp(T, z) 2: c(n, r) 2:: rE n=O 2 r 4nm Here k and m are nat...

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