Let Euler's zeta function be given by(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\sum_{n=1}^{\infty}1/n^s

[/tex]

Is there an exponent L which limits the finiteness of

[tex]

(\sum_{n=1}^{\infty}1/n^s)^L

[/tex]

for the case where s=1?

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

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Exponential bound for Euler's zeta function?

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