83 citations · 1k across the 45 of their papers we have counts for
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math.NT2010★ 40 cited
Bounding in the critical strip
Emanuel Carneiro, Vorrapan Chandee
Assuming the Riemann Hypothesis, we make use of the recently discovered \cite{CLV} extremal majorants and minorants of prescribed exponential type for the function $\log\left(\tfra…
math.CA2010★ 42 cited
Gaussian Subordination for the Beurling-Selberg Extremal Problem
Emanuel Carneiro, Friedrich Littmann, Jeffrey D. Vaaler
We determine extremal entire functions for the problem of majorizing, minorizing, and approximating the Gaussian function by entire functions of exponential type. This…
math.FA2010★ 48 cited
On a discrete version of Tanaka's theorem for maximal functions
Jonathan Bober, Emanuel Carneiro, Kevin Hughes +1
In this paper we prove a discrete version of Tanaka's Theorem \cite{Ta} for the Hardy-Littlewood maximal operator in dimension , both in the non-centered and centered cases. F…