TY - JOUR AU - Gallardo Gutiérrez, Eva A. AU - Seco, Daniel PY - 2022 UR - https://hdl.handle.net/20.500.14352/71714 AB - We study zero-free regions of the Riemann zeta function ζ related to an approximation problem in the weighted Dirichlet space D−2 which is known to be equivalent to the Riemann Hypothesis since the work of B ́aez-Duarte. We prove, indeed, that... LA - eng KW - Riemann zeta function KW - weighted Dirichlet spaces KW - cyclic vectors TI - Distribution of primes and approximation on weighted Dirichlet spaces TY - journal article ER -