analytic combinatorics
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technique for counting combinatorial objects, using the internal structure of the objects to derive formulas for their generating functions
Connections
logarithm
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Srinivasa Ramanujan
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G.H. Hardy
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nth root
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Taylor series
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complex analysis
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meromorphic function
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saddle point
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pole
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mathematical singularity
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entire function
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generating function
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radius of convergence
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asymptotic analysis
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contour integration
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Robert Sedgewick
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Hardy–Littlewood circle method
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enumerative combinatorics
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Walter Hayman
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Andrew M. Odlyzko
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