Ramanujan tau function
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8 matching pages
1: 27.20 Methods of Computation: Other Number-Theoretic Functions
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►A recursion formula obtained by differentiating (27.14.18) can be used to calculate Ramanujan’s function
, and the values can be checked by the congruence (27.14.20).
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2: 27.21 Tables
3: 27.14 Unrestricted Partitions
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§27.14(vi) Ramanujan’s Tau Function
… ►The 24th power of in (27.14.12) with is an infinite product that generates a power series in with integer coefficients called Ramanujan’s tau function : ►
27.14.18
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27.14.20
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4: 20.12 Mathematical Applications
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►For applications of Jacobi’s triple product (20.5.9) to Ramanujan’s
function and Euler’s pentagonal numbers see Hardy and Wright (1979, pp. 132–160) and McKean and Moll (1999, pp. 143–145).
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5: Bibliography L
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Ramanujan’s function
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Duke Math. J. 10 (3), pp. 483–492.
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The vanishing of Ramanujan’s function
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Duke Math. J. 14 (2), pp. 429–433.
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6: Bibliography W
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A table of Ramanujan’s function
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Proc. London Math. Soc. (2) 51, pp. 1–13.
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7: Bibliography M
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New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function.
Proc. Nat. Acad. Sci. U.S.A. 93 (26), pp. 15004–15008.
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8: 20.11 Generalizations and Analogs
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