These are papers about individual pieces of scientific work that I have done and that are freely available for download, copy and distribution. Some of them are either motivated by the scientific books that I have written, or establish results used in them.

• Numerical Solution for the Mean-Field Critical Curves of the SO(N) Polynomial Models
• On the Convergence of a Certain Class of Fourier Series
  This one is in fact about the proposition and proof of a certain mathematical theorem.
• On the Sums of Inverse Even Powers of Zeros of Regular Bessel Functions
  This one is also about the proposition and proof of a certain mathematical theorem.
• Gaussian-Perturbative Calculations with a Homogeneous External Source
  This one is about calculations of observables on SO(N) Polynomial Models.
• Fourier Theory on the Complex Plane
  This one (five, actually) presents a new point of view regarding Fourier series and real functions.
• Low-Pass Filters, Fourier Series and Partial Differential Equations
  This one introduces certain low-pass filters as tools for dealing with divergent
  Fourier series, in the context of boundary value problems.
• Numerical Tests of Center Series
  This one presents numerical tests showing the high speed of convergence of some center series.
• Real Functions for Physics
  This one introduces a general classification of generalized real functions,
  involving the concepts of combed functions and ragged functions.
• Complex Analysis of Real Functions
  This one (seven, actually, so far) presents a new point of view
  regarding the use of complex analysis to study real functions.
• Extension of the Schwarzschild Solution to the Case of Localized Fluid Matter
  This one presents a new class of solutions of the Einstein gravitational field equations
  of General Relativity, and analyses some of their general properties.
• Exact Solution of the Einstein Field Equations for a Spherical Shell of Fluid Matter
  This one presents a three-parameter family of exact solutions of the Einstein gravitational field
  equations of General Relativity, some of which are presented explicitly and analytically, in terms
  of elementary functions.
• Complete Solution of the Einstein Field Equations for a Spherical Distribution of Polytropic Matter
  This one presents a three-parameter family of almost exact solutions of the Einstein gravitational
  field equations of General Relativity, for a polytropic gaseous fluid; a single function, that has a very
  simple behavior, has to be determined numerically, in terms of which everything else follows.
• Place-Holder

These are older pieces of work, not published in the traditional media, and not yet present elsewhere in this site. In most cases they are waiting for time and oportunity for technical improvements and/or improvements in the conceptual explanations within the text.

• Quantum Field Theory and Space-Time Geometry
  Thesis submitted to the Physics Institute of the University of São Paulo as part of the requirements for obtaining the title of ``Livre-Docente'' (Privatdocent).
• Field Quantization and Metrical Geometry on a Simplicial Lattice
  A shorter, more concise paper about the work immediately above. It introduces the concept of the tangent lattice.
• Place-Holder

JLdL 27May19