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math.CO2026
Resultants, Recursive Formulas and Binet Formulas for Verlinde Sums
Jay Jorgenson, Anders Karlsson, Lejla Smajlović
We study Verlinde sums , which for our purposes are finite sums of trigonometric functions , associated to . In this article we prove the fo…
math.CO2026
Evaluating Verlinde sums using spectral graph theory
Jay Jorgenson, Anders Karlsson, Lejla Smajlović
We realize the Verlinde sums , up to an explicit factor, as the values at of the spectral zeta function of a higher-order Laplace operator on the trian…
math.SP2026
Diffusion Computation versus Quantum Computation: A Comparative Model for Order Finding and Factoring
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
We study a hybrid computational model for integer factorization in which the only non-classical resource is access to an \emph{iterated diffusion process} on a finite graph. Concre…