0
$\begingroup$

Could someone please show me that $\sum_{n = 1}^{\infty} \sigma_{x}(n)n^{-(x + 1)/2} \chi(n)$ converges where $\chi $ is a Dirichlet character of modulus $m$?

$\endgroup$
  • $\begingroup$ For what $x$ are you interested in? $\endgroup$ – davidlowryduda Sep 6 '15 at 22:33
  • $\begingroup$ I am interested in -1 < x < 1. $\endgroup$ – Hugh G Rection Sep 7 '15 at 3:49

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.