2000 character limit reached
A $q$-analogue for Euler's evaluations of the Riemann zeta function (1803.02467v2)
Published 6 Mar 2018 in math.NT
Abstract: We provide a $q$-analogue of Euler's formula for $\zeta(2k)$ for $k\in\mathbb{Z}+$. Our main results are stated in Theorems 3.1 and 3.2 below. The result generalizes a recent result of Z.W. Sun who obtained $q$-analogues of $\zeta(2)=\pi2/6$ and $\zeta(4)=\pi4/90$.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
