4
$\begingroup$

Is there a nice identity known for $$\frac{\zeta(k- \tfrac{1}{2}) \zeta(2k -1)}{\zeta(4k -2)}?$$ (I'm dealing with half-integral $k$.) Equally, an identity for $$\frac{\zeta(s) \zeta(2s)}{\zeta(4s)}$$ would do ;)

  • 0
    What kind of identity?2012-11-28
  • 0
    I don't have anything specific in mind, something that makes it nicer (and doesn't bloat it up) ;) It doesn't serve a particular purpose, I was just wondering if there is any...2012-11-28
  • 1
    If there were a simplification not involving odd $s$ one could evaluate for example zeta(3), which is not now known in closed form.2012-11-28

1 Answers 1