3 papers
math.CV2025
Difference equations and Omega functions
Ricardo Perez-Marco
We introduce Omega functions that generalize Euler Gamma functions and study the functional difference equation they satisfy. Under a natural exponential growth condition, the vect…
cs.CR2025
Block withholding resilience
Cyril Grunspan, Ricardo Perez-Marco
It has been known for some time that the Nakamoto consensus as implemented in the Bitcoin protocol is not totally aligned with the individual interests of the participants. More pr…
math.NT2024
Stirling-Ramanujan constants are exponential periods
Vicente Muñoz, Ricardo Perez-Marco
Ramanujan studied a general class of Stirling constants that are the resummation of some natural divergent series. These constants include the classical Euler-Mascheroni, Stirling…