Bounding zeta on the 1-line under the partial riemann hypothesis

Chirre A. · Bulletin of the Australian Mathematical Society (2024) · DOI: 10.1017/s0004972723001338

Resumen

We provide explicit bounds for the Riemann zeta-function on the line, assuming that the Riemann hypothesis holds up to height T. In particular, we improve some bounds in finite regions for the logarithmic derivative and the reciprocal of the Riemann zeta-function. © The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

Instituciones: Pontificia Universidad Católica del Perú