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Book
Die Lehre von den elliptischen Integralen und den Theta-Functionen
Author:
ISBN: 3111693775 9783111693774 9783111306070 Year: 2011 Publisher: Berlin ; Boston : De Gruyter, Georg Andreas Reimer Verlag,


Book
Elements of the theory of elliptic functions
Authors: ---
ISBN: 0821845322 9780821845325 Year: 1990 Volume: 79 Publisher: Providence (R.I.): American mathematical society,

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Abstract

Tata lectures on theta.. 2, Jacobian theta functions and differential equations
Authors: ---
ISBN: 0817631100 9780817631109 Year: 1984 Volume: 43 Publisher: Boston (Mass.): Birkhäuser,

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Abstract

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics. This book presents an explicit elementary construction of hyperelliptic Jacobian varieties and is a self-contained introduction to the theory of the Jacobians. It also ties together nineteenth-century discoveries due to Jacobi, Neumann, and Frobenius with rece

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