12 citations · 53 across the 22 of their papers we have counts for
25 papers
Unique ergodicity of hedgehogs
Ricardo Perez-Marco
We prove that the dynamics on a non-linearizable hedgehog is uniquely ergodic. This solves a conjecture of the author formulated in 1995. Its unique invariant probability measure i…
General Stirling-Ramanujan Constants are exponential periods and applications
Mounir Hajli, Ricardo Perez-Marco
For , Stirling-Ramanujan constants are the Ramanujan summation of the divergent series . These constants are exponential periods over the e…
A natural eñe product construction of the Big Witt ring
Daniel Barsky, Ricardo Perez-Marco, Jean-Pierre Ramis
We give a straightforward, self-contained, and natural construction of the Big Witt ring using the eñe product that is defined through the action on zeros of polynomials. This is i…
A simple proof of the Fundamental Theorem of Algebra
Ricardo Pérez-Marco
We present a simple short proof of the Fundamental Theorem of Algebra, without complex analysis and with a minimal use of topology. It can be taught in a first year calculus class.
On the definition of higher Gamma functions
Ricardo Pérez-Marco
We generalize our previous new definition of Euler Gamma function to higher Gamma functions. With this unified approach, we characterize Barnes higher Gamma functions, Mellin Gamma…
Notes on the historical bibliography of the gamma function
Ricardo Pérez-Marco
Telegraphic notes on the historical bibliography of the Gamma function and Eulerian integrals. Correction to some classical references. Some topics of the interest of the author. W…