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math.NT2026
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…
math.NT2019★ 2 cited
On the genesis of BBP formulas
Daniel Barsky, Vicente Muñoz, Ricardo Pérez-Marco
We present a general procedure to generate infinitely many BBP and BBP-like formulas for the simplest transcendental numbers. This provides some insight and a better understanding…
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…