2 papers
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…
math.NT2013
Unified treatment of Explicit and Trace Formulas via Poisson-Newton formula
Vicente Muñoz, Ricardo Pérez-Marco
We prove that a Poisson-Newton formula, in a broad sense, is associated to each Dirichlet series with a meromorphic extension to the whole complex plane of finite order. These form…