2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73862Improving a result of N. Levinson, we exhibit large and small values of $|ζ(1+it)|$.Dedicated to Professor K. Ramachandra on the occasion of his seventieth birthdayNumber TheoryExtreme values of $|ζ(1+it)|$text