Showing math.NTShow all
2 papers · 1 filter
math.NT2025
Simple and accurate approximations to the Riemann zeta function
Alexey Kuznetsov
We develop approximations for the Riemann zeta function that enable high-precision computation within the critical strip and other vertical strips. These approximations combine the…
math.NT2023
Series expansions for the Riemann zeta function
Alexey Kuznetsov
We prove a general result on representing the Riemann zeta function as a convergent infinite series in a complex vertical strip containing the critical line. We use this result to…