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I have been researching about the dominated convergence theorem so that i could use it to prove the relationship between the gamma function and the Riemann zeta function, what i need is the simple version of the dominated convergence theorem to be able to swap the summation sign and the integral sign around in order to prove the relationship, after doing some research i have only found information relating to the measure theory but i dont understand how that relates to how im going to use it, anybody have any ideas

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# Dominated Convergence theorem

**Physics Forums | Science Articles, Homework Help, Discussion**