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Filip Saidak - On zero-free regions of the zeta function



FILIP SAIDAK, Department of Mathematics and Statistics, Queen's University, Kingston, Ontario  K7L 3N6, Canada
On zero-free regions of the zeta function


A powerful analytic method of Turán brought several advances in understanding the local behaviour of zeros of zeta-like functions. We discuss certain simplifications and extensions of these classical results, highlighting the main unsolved problems and conjectures of the theory.