41 citations · 66 across the 22 of their papers we have counts for
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Exact Summatory Functions for Prime -tuples
J. LaChapelle
Exact summatory functions that count the number of prime -tuples up to some cut-off integer are presented. Related -tuple analogs of the first and second Chebyshev functions…
On the infinitude of Prime -tuples
J. LaChapelle
Starting with Zhang's theorem on the infinitude of prime doubles, we give an inductive argument that there exists an infinite number of prime -tuples for at least one admissible…
A Gamma Distribution Hypothesis for Prime -tuples
J. LaChapelle
We conjecture average counting functions for prime -tuples based on a gamma distribution hypothesis for prime powers. The conjecture is closely related to the Hardy-Littlewood c…
Functional Integration on Constrained Function Spaces II: Applications
J. LaChapelle
Some well-known examples of constrained quantum systems commonly quantized via Feynman path integrals are re-examined using the notion of conditional integrators introduced in [1].…