Some Musings on Theta, Eta, and Zeta: From E8 to Cold Plasma to an Lnhomogeneous Universe (Paperback)

A Theta Function Attached to a Positive Definite Matrix.-?Jacobi Type Inversion Formulas.-?A Theorem of Minkowski: Enter E8.-?Modular Properties of Theta and Eta.-?An Epstein Zeta Function Attached to A.-?An Inhomogeneous Epstein Zeta Function.-?Dirichlet and Hecke L-functions, Sums of Squares, and Some Other Stuff.-?The Modular j-Invariant and Powers of Its Cube Root: Enter E8 Again.-?Modular Forms of Non-Positive Weight: Exact Formulas and Asymptotics of Their Fourier Coefficients.-?More on Logarithmic Corrections to Black Hole Entropy.-?A Dedekind Type Eta Function Attached to the Hecke Group 0(N).-?Elementary Particles, the E8 Root Lattice, and a Patterson-Selberg Zeta Function.-?The Uncontroversial Mathematics Behind Garrett Lisi's Controversial "Theory of Every.-?The Elliptic Functions sn(x, ), cn(x, ), and dn(x, ) of C.Jacobi.-?The Continuous Heisenberg Model, Reaction Diffusion System, Cold Plasma, and the J-T Black Hole.- The Weierstrass P-Function and Some KdV Solutions.-?The Weierstrass Sigma and Zeta Functions: Theta Function Connections.-?A Finite Temperature Zeta Function.-?Lemaitre, Inhomogeneous Cosmology, and a Quick Look at the BTZ Black Hole.-?A Cold Plasma-sine-Gordon Connection.-?A Theta and Zeta Function Attached to a Non- Compact Symmetric Space: Computation of the One-Loop Effective Potential.