Chapter 21 Multidimensional Theta Functions

B. Deconinck Department of Applied Mathematics, University of Washington, Seattle, Washington.

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Notes:

The main references used in writing this chapter are Mumford (1983, 1984), Igusa (1972), and Belokolos et al. (1994). For additional bibliographic reading see Dubrovin (1981), Siegel (1971, 1973), and Fay (1973).

Referenced by:

§20.1, Profile Bernard Deconinck, § ‣ Chapter Authors, § ‣ Associate Editors, Index T, Organization and Objective, § ‣ Software Cross Index

Permalink:

http://dlmf.nist.gov/21

• Notation
  1. 21.1 Special Notation
• Properties
  1. 21.2 Definitions
  2. 21.3 Symmetry and Quasi-Periodicity
  3. 21.4 Graphics
  4. 21.5 Modular Transformations
  5. 21.6 Products

• Applications
  1. 21.7 Riemann Surfaces
  2. 21.8 Abelian Functions
  3. 21.9 Integrable Equations
• Computation
  1. 21.10 Methods of Computation
  2. 21.11 Software

20.16 Software21.1 Special Notation

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