21 citations · 125 across the 34 of their papers we have counts for
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math.NT2016★ 15 cited
Traces, high powers and one level density for families of curves over finite fields
Alina Bucur, Edgar Costa, Chantal David +2
The zeta function of a curve over a finite field may be expressed in terms of the characteristic polynomial of a unitary matrix . We develop and present a new technique to…
math.CA2016★ 6 cited
On Functions Whose Mean Value Abscissas Are Midpoints, with Connections to Harmonic Functions
Paul Carter, David Lowry-Duda
We investigate functions with the property that for every interval, the slope at the midpoint of the interval is the same as the average slope. More generally, we find functions wh…
math.NT2016★ 6 cited
Sign Changes of Coefficients and Sums of Coefficients of L-Functions
Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1
We extend the axiomatization for detecting and quantifying sign changes of Meher and Murty to sequences of complex numbers. We further generalize this result when the sequence is c…