Bruce Richmond’s scientific contributions

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Publications (1)


Maximum Stirling numbers of the second kind
  • Article

January 2008

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43 Reads

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6 Citations

Graeme Kemkes

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Bruce Richmond

Say an integer n is exceptional if the maximum Stirling number of the second kind S(n,k) occurs for two (of necessity consecutive) values of k. We prove that the number of exceptional integers less than or equal to x is O(x 1/2+ε ), for any ε>0. We derive a similar result for partitions of n into exactly k integers.

Citations (1)


... we show examples in Sect. 2. Searching these databases is valuable also for cases where the student can compute the integral, as it enables finding new connections with other mathematical fields. See also [7]. ...

Reference:

A Framework for an ICT-Based Study of Parametric Integrals
Maximum Stirling numbers of the second kind
  • Citing Article
  • January 2008