دانلود کتاب Some Musings on Theta, Eta, and Zeta: From E8 to Cold Plasma to an lnhomogeneous Universe

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Preface
Contents
1 A Theta Function Attached to a Positive Definite Matrix
2 Jacobi Type Inversion Formulas
3 A Theorem of Minkowski: Enter E8
4 Modular Properties of Theta and Eta
5 An Epstein Zeta Function Attached to A
6 An Inhomogeneous Epstein Zeta Function
7 Dirichlet and Hecke L-Functions, Sums of Squares, and Some Other Stuff
8 The Modular j-Invariant and Powers of Its Cube Root: Enter E8 Again
9 Modular Forms of Non-positive Weight: Exact Formulas and Asymptotics of Their Fourier Coefficients
10 More on Logarithmic Corrections to Black Hole Entropy
11 A Dedekind Type Eta Function Attached to the Hecke Group Γ0(N)
12 Elementary Particles, the E8 Root Lattice, and a Patterson–Selberg Zeta Function
13 The Uncontroversial Mathematics Behind Garrett Lisi\'s Controversial ``Theory of Everything\'\'
13.1 Introduction to Lie Groups and Lie Algebras
13.2 Grand Unified Theories and the Standard Model
13.3 A Theory of Everything
13.4 Conclusion
14 The Elliptic Functions s n(x, κ), c n(x, κ) , and d n(x, κ) of C. Jacobi
15 The Continuous Heisenberg Model, Reaction Diffusion System, Cold Plasma, and the J-T Black Hole
16 The Weierstrass mathcalP-Function and Some KdV Solutions
17 The Weierstrass Sigma and Zeta Functions: Theta Function Connections
18 A Finite Temperature Zeta Function
19 Lemaitre, Inhomogeneous Cosmology, and a Quick Look at the BTZ Black Hole
20 A Cold Plasma-Sine-Gordon Connection
21 A Theta and Zeta Function Attached to a Non-compact Symmetric Space: Computation of the One-Loop Effective Potential
Appendix References
References