Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415715 | Journal of Number Theory | 2011 | 22 Pages |
Abstract
Assuming the Riemann Hypothesis, we make use of the recently discovered (Carneiro et al. (preprint) [1]) extremal majorants and minorants of prescribed exponential type for the function log(4+x2(αâ1/2)2+x2) to find upper and lower bounds with explicit constants for log|ζ(α+it)| in the critical strip, extending the work of Chandee and Soundararajan (in press) [4].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Emanuel Carneiro, Vorrapan Chandee,