书目名称 | Some Musings on Theta, Eta, and Zeta | 副标题 | From E8 to Cold Plas | 编辑 | Floyd L. Williams | 视频video | | 概述 | Provides concrete examples ranging from explicit examples of meromorphic continuation of inhomogeneous zeta functions.Possesses a balance presented between classical known results and new results.Cove | 丛书名称 | Mathematical Physics Studies | 图书封面 |  | 描述 | .This 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.1. A new approach to logarithmic corrections to black hole entropy.2. My recent work that provides for an explicit cold plasma-black hole connection.3. 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.4. A construction of the E8 root lattice, its theta function, and its relevance for heterotic string theory.5. Applications of elliptic functions to KdV, nonlinear Schrödinger, and Duffing equations, for example, including a discussion of Lax pairs and the Miura transformation.6. Finite temperature zeta functionsand partition functions for quantum fields in thermal equilibrium on various curved background spacetimes.7. Exact solutions of the Einstein gravitational field equations for Lemaitre and inhomogeneous cosmological models, with a special | 出版日期 | Book 2023 | 关键词 | Dedekind Eta Function for the Hecke Group; Holomorphic Eisenstein Series; E8 Root Lattice; Cold Plasma- | 版次 | 1 | doi | https://doi.org/10.1007/978-981-99-5336-3 | isbn_softcover | 978-981-99-5338-7 | isbn_ebook | 978-981-99-5336-3Series ISSN 0921-3767 Series E-ISSN 2352-3905 | issn_series | 0921-3767 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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