“…Very little is known unconditionally; however, Selberg (unpublished, but announced in [12]) has shown that μ < 1 < λ. Assuming the Riemann Hypothesis, numerous authors [2,5,7,8,10] have obtained explicit bounds for μ and λ. Theorem 1.1 improves the previously best known results under this assumption which were μ < 0.5172 due to Conrey, Ghosh, and Gonek [2] and λ > 2.6306 due to R. R. Hall [5]. The results in Hall's paper are actually unconditional, but a lower bound for λ can only be obtained if the Riemann Hypothesis is assumed.…”