21 citations · 125 across the 34 of their papers we have counts for
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math.NT2019★ 4 cited
Non-real Poles and Irregularity of Distribution
David Lowry-Duda
We study the general theory of weighted Dirichlet series and associated summatory functions of their coefficients. We show that any non-real pole leads to oscillatory error terms.…
math.NT2019★ 6 cited
Triple Correlation Sums of Coefficients of Cusp Forms
Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1
We produce nontrivial asymptotic estimates for shifted sums of the form , in which are un-normalized Fourier coefficients of holomorphic cusp…
math.CA2019
When Are There Continuous Choices for the Mean Value Abscissa?
David Lowry-Duda, Miles H. Wheeler
The mean value theorem of calculus states that, given a differentiable function on an interval , there exists at least one mean value abscissa such that the slope o…