2 papers
math.NT2022
Some explicit estimates for the error term in the prime number theorem
Daniel R. Johnston, Andrew Yang
By combining and improving recent techniques and results, we provide explicit estimates for the error terms , and appearing in the prime…
math.NT2022
Exact formulae and Turán inequalities for Vafa-Witten invariants of surfaces
Daniel R. Johnston, Joshua Males
We consider three different families of Vafa-Witten invariants of surfaces. In each case, the partition function that encodes the Vafa-Witten invariants is given by combinatio…