{"product_id":"some-musings-on-theta-eta-and-zeta-von-floyd-l-williams","title":"Some Musings on Theta, Eta, and Zeta","description":"\n                                \n                \u003cp\u003eThis book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics. It is a follow-up and extension in some sense of the author’s earlier book entitled A window into zeta and modular physics. Some of the main topics are\u003c\/p\u003e\n                                \n                \u003cp\u003e1. A new approach to logarithmic corrections to black hole entropy\u003c\/p\u003e\n                                \n                \u003cp\u003e2. My recent work that provides for an explicit cold plasma-black hole connection\u003c\/p\u003e\n                                \n                \u003cp\u003e3. Generalization of work of physicists on certain asymptotic problems relating to string theory, for example, by way of the general theory of modular forms of non-positive weight\u003c\/p\u003e\n                                \n                \u003cp\u003e4. A construction of the E8 root lattice, its theta function, and its relevance for heterotic string theory\u003c\/p\u003e\n                                \n                \u003cp\u003e5. Applications of elliptic functions to KdV, nonlinear Schrödinger, and Duffing equations, for example, including a discussion of Lax pairs and the Miura transformation\u003c\/p\u003e\n                                \n                \u003cp\u003e6. Finite temperature zeta functionsand partition functions for quantum fields in thermal equilibrium on various curved background spacetimes\u003c\/p\u003e\n                                \n                \u003cp\u003e7. Exact solutions of the Einstein gravitational field equations for Lemaitre and inhomogeneous cosmological models, with a special focus on the Szekeres–Szafron exact solutions by way of the Weierstrass elliptic function\u003c\/p\u003e\n                                \n                \u003cp\u003e\n                                        8. Elementary particles and my zeta function formula for higher spin fermionic particles; this covers, in particular, the gravitino particle (of spin 3\/2) and bosons with integral spin \n                    \n                    \u003ci\u003es\u003c\/i\u003e\n                                         = 2, 3, 4, 5.\n                \n                \u003c\/p\u003e\n                                \n                \u003cp\u003e\n                                        These are some sample topics. Others include the continuous Heisenberg model, reaction diffusion systems, Dirichlet and Hecke \n                    \n                    \u003ci\u003eL\u003c\/i\u003e\n                                        -functions, the modular\n                    \n                    \u003ci\u003e j\u003c\/i\u003e\n                                        -invariant, the computation of the one-loop effective potential for non-compact symmetric spaces, the BTZ black hole, Jacobi inversion formulas, etc.\n                \n                \u003c\/p\u003e\n                                \n                \u003cp\u003eThus, there is a very large range of material with the first 9 chapters of preliminary, expositional background for mathematicians and physicists.\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789819953356\"\u003e\u003ch3\u003eFrom E8 to Cold Plasma to an lnhomogeneous Universe\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789819953387\"\u003e\u003ch3\u003eFrom E8 to Cold Plasma to an lnhomogeneous Universe\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9789819953356","offer_id":47267717873989,"sku":"9789819953356","price":149.79,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9789819953387","offer_id":53640103297349,"sku":"9789819953387","price":149.79,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/410074af-e3f2-4c32-ac79-7f90b61e7825.jpg?v=1772263120","url":"https:\/\/shop.autorenwelt.de\/products\/some-musings-on-theta-eta-and-zeta-von-floyd-l-williams","provider":"Autorenwelt Shop","version":"1.0","type":"link"}