6 papers
CR embeddability of quotients of the Rossi sphere via spectral theory
Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2
We look at the action of finite subgroups of on , viewed as a CR manifold, both with the standard CR structure as the unit sphere in and…
Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups
Stephan Ramon Garcia, Christopher O'Neill, Gabe Udell
For numerical semigroups with three generators, we study the asymptotic behavior of weighted factorization lengths, that is, linear functionals of the coefficients in the factoriza…
A Tauberian Approach to Weyl's Law for the Kohn Laplacian on Spheres
Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2
We compute the leading coefficient in the asymptotic expansion of the eigenvalue counting function for the Kohn Laplacian on the spheres. We express the coefficient as an infinite…
The cyclic graph (deleted enhanced power graph) of a direct product
David G. Costanzo, Mark L. Lewis, Stefano Schmidt +2
Let be a finite group. Define a graph on the set by declaring distinct elements to be adjacent if and only if $\langle x,y\rangle…
Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples
Stephan Ramon Garcia, Gabe Udell, Jiahui Yu
Assuming Dickson's conjecture, we obtain multidimensional analogues of recent results on the behavior of certain multiplicative arithmetic functions near twin-prime arguments. This…
Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function
Stephan Ramon Garcia, Florian Luca, Kye Shi +1
Garcia, Kahoro, and Luca showed that the Bateman-Horn conjecture implies for a majority of twin-primes pairs and that the reverse inequality holds for…