Some Musings on Theta, Eta, and Zeta

Some Musings on Theta, Eta, and Zeta

From E8 to Cold Plasma to an lnhomogeneous Universe

Williams, Floyd L.

Springer Verlag, Singapore

11/2024

233

Mole

9789819953387

15 a 20 dias

Descrição não disponível.
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.
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Dedekind Eta Function for the Hecke Group;Holomorphic Eisenstein Series;E8 Root Lattice;Cold Plasma-Black Hole Connection;Inhomogeneous Cosmology