Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Polylogarithm identity question

  1. Jul 4, 2009 #1
    I found this equation last night on Wolfram:


    How is it possible this equation has no restrictions given that the gamma function has poles at the negative integers?

    Also, won't the zeta function portion run into problems at those integers as well when k passes v in the summation?
  2. jcsd
  3. Jul 4, 2009 #2


    User Avatar
    Science Advisor

    There are no restrictions because one side is not defined at exactly the points the other is not defined.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook