Bounding ζ(s) in the critical strip
By Emanuel Carneiro, Vorrapan Chandee. 2010
55 citations recorded by the source corpus.
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 + x 2 ( α − 1 / 2 ) 2 + x 2 ) to find upper and lower bounds with explicit constants for log | ζ ( α + i t ) | in the critical strip, extending the work of Chandee and Soundararajan (in press) [4] .
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/480d5b1f18efb1600913b7905f2a8fcb6a49d3c6
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- The fourth moment of quadratic Dirichlet L-functions over function fields (2016, methodology): “[7] Vorrapan Chandee and K. Soundararajan.”