The conversation between human and AI assistant.
What is the sum of the series [math]\sum_{n=1,3,5,\ldots}^\infty \frac{1}{n^4}[/math]?
I see. Could you also explain what the Riemann zeta function is?
Sure, the Riemann zeta function [math]\zeta(s)[/math] is a mathematical function that appears in many areas of mathematics, including number theory and complex analysis. It is defined as the infinite sum [math]\zeta(s)=\sum_{n=1}^\infty \frac{1}{n^s}[/math], where [math]s[/math] is a complex number with real part greater than 1.