multidimensional theta functions
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1: 21 Multidimensional Theta Functions
Chapter 21 Multidimensional Theta Functions
…2: Bernard Deconinck
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►He is the coauthor of several Maple commands to work with Riemann surfaces and the command to compute multidimensional theta functions numerically.
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3: 21.1 Special Notation
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►The function
is also commonly used; see, for example, Belokolos et al. (1994, §2.5), Dubrovin (1981), and Fay (1973, Chapter 1).
4: 20.2 Definitions and Periodic Properties
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§20.2(i) Fourier Series
…5: 20.11 Generalizations and Analogs
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►Multidimensional theta functions with characteristics are defined in §21.2(ii) and their properties are described in §§21.3(ii), 21.5(ii), and 21.6.
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6: Software Index
7: 5.14 Multidimensional Integrals
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5.14.7
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8: 3.5 Quadrature
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►For a comprehensive survey of quadrature of highly oscillatory integrals, including multidimensional integrals, see Iserles et al. (2006).
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