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Chapter 21
Multidimensional Theta Functions
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
,
Bernard Deconinck
,
Index T
,
Organization and Objective
,
§
‣
§
Software Cross Index
Permalink:
http://dlmf.nist.gov/21
B. Deconinck
Department of Applied Mathematics, University of Washington, Seattle, Washington.
Notation
21.1
Special Notation
Properties
21.2
Definitions
21.3
Symmetry and Quasi-Periodicity
21.4
Graphics
21.5
Modular Transformations
21.6
Products
Applications
21.7
Riemann Surfaces
21.8
Abelian Functions
21.9
Integrable Equations
Computation
21.10
Methods of Computation
21.11
Software