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There is a [sticky] meta discussion of MathOverflow success stories which point to how others cited MathOverflow-induced contributions. If you provided a sample text, that would make it easy for others to critique and refine. To get the ball rolling (I choose theta to be pi/2), here is a suggested phrasing.
One of the authors acknowledges Nick Salter (cf [NSMO]) for questions and data which led/to the formulation of identities alpher, bethe, and gamow.
[NSMO] place here some appropriate citing of MathOverflow, as well as any personal communication with Nick Salter.
If either James or Salter want to further promote the Reu results, a citation to those web pages would be appropriate, otherwise leave it at MO and personal communication. In My opinion.
Gerhard "Ask Me About System Design" Paseman, 2011.06.05