A New Possible Theory of Mathematical Connections Between Some Ramanujan's Equations and Approximations to π, the Equations of Inflationary Cosmology Concerning the Scalar Field ϕ, the Inflaton Mass, the Higgs Boson Mass and the Pion Meson π^± Mass Michele Nardelli, Antonio Nardelli In this research thesis, we have described a new possible Theory of Mathematical Connections between some Ramanujan's equations and Approximations to π, the equations of Inflationary Cosmology concerning the scalar field ϕ, the Inflaton mass, the Higgs boson mass and the Pion meson π^± mass Summary In this research thesis, we have analyzed further Ramanujan formulas and described new mathematical connections with some sectors of Particle Physics. In the course of the discussion we describe and highlight the connections between some developments of Ramanujan equations utilizing the Lucas and/or Fibonacci numbers and particles type solutions such as the mass of the Higgs boson, those