We give a new second moment estimate for the Dedekind zeta function on the critical line. As an application, we improve the error term in the counting theorem for integral ideals of norm $\leq x$ in a fixed number field $K$. This is joint work with Roger Baker.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/7671