Fay trisecant identity
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11: 15.17 Mathematical Applications
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§15.17(iv) Combinatorics
►In combinatorics, hypergeometric identities classify single sums of products of binomial coefficients. …12: 27.15 Chinese Remainder Theorem
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►The Chinese remainder theorem states that a system of congruences , always has a solution if the moduli are relatively prime in pairs; the solution is unique (mod ), where is the product of the moduli.
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13: 17.17 Physical Applications
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►In exactly solved models in statistical mechanics (Baxter (1981, 1982)) the methods and identities of §17.12 play a substantial role.
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14: 17.18 Methods of Computation
15: 35.10 Methods of Computation
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►Koev and Edelman (2006) utilizes combinatorial identities for the zonal polynomials to develop computational algorithms for approximating the series expansion (35.8.1).
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16: David M. Bressoud
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►His books are Analytic and Combinatorial
Generalizations of the Rogers-Ramanujan Identities, published in Memoirs of the American Mathematical Society 24, No.
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17: 1.1 Special Notation
18: 4.8 Identities
19: 20.11 Generalizations and Analogs
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►This is the discrete analog of the Poisson identity (§1.8(iv)).
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►In the case
identities for theta functions become identities in the complex variable , with , that involve rational functions, power series, and continued fractions; see Adiga et al. (1985), McKean and Moll (1999, pp. 156–158), and Andrews et al. (1988, §10.7).
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►Similar identities can be constructed for , , and .
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