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math.NT2026
Simple and accurate approximations to Dirichlet -functions
Alexey Kuznetsov
We extend the quadrature method developed in [10] to Dirichlet -functions associated with primitive characters. The approximations combine finite Dirichlet sums with correction…
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…