2 papers
math.NT2026
Beukers-like proofs of irrationality for and
F. M. S. Lima
In this note, I develop step-by-step proofs of irrationality for and . Though the proofs follow closely those based upon unit-square integrals proposed ori…
math-ph2025
Lecture notes on Legendre polynomials: their origin and main properties
F. M. S. Lima
It is well-known that separation of variables in 2nd order partial differential equations (PDEs) for physical problems with spherical symmetry usually leads to Cauchy's differentia…