Riemann theta functions
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11—20 of 36 matching pages
11: 21.7 Riemann Surfaces
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§21.7(i) Connection of Riemann Theta Functions to Riemann Surfaces
►In almost all applications, a Riemann theta function is associated with a compact Riemann surface. … ►is a Riemann matrix and it is used to define the corresponding Riemann theta function. … ►§21.7(ii) Fay’s Trisecant Identity
… ► …12: 20.10 Integrals
13: Bibliography J
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Java Tools for Experimental Mathematics
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14: 20.9 Relations to Other Functions
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§20.9(iii) Riemann Zeta Function
…15: Bibliography R
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Elliptic Functions, Theta Functions, and Riemann Surfaces.
The Williams & Wilkins Co., Baltimore, MD.
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16: Bibliography D
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Computing Riemann theta functions.
Math. Comp. 73 (247), pp. 1417–1442.
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17: Bibliography F
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Theta Functions on Riemann Surfaces.
Springer-Verlag, Berlin.
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18: 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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19: 25.10 Zeros
20: 20.12 Mathematical Applications
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►This ability to uniformize multiply-connected spaces (manifolds), or multi-sheeted functions of a complex variable (Riemann (1899), Rauch and Lebowitz (1973), Siegel (1988)) has led to applications in string theory (Green et al. (1988a, b), Krichever and Novikov (1989)), and also in statistical mechanics (Baxter (1982)).
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