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Klaus Kirsten, Floyd L. Williams, "A Window into Zeta and Modular Physics"
2010 | ISBN-10: 0521199301, 1107633931 | 360 pages | PDF | 5 MB
This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms); and (3) vertex operator algebras (correlation functions, quasimodular forms, modular invariance, rationality, and some current research topics including higher genus conformal field theory). Various concrete applications of the material to physics are presented. These include Kaluza-Klein extra dimensional gravity, Bosonic string calculations, an abstract Cardy formula for black hole entropy, Patterson-Selberg zeta function expression of one-loop quantum field and gravity partition functions, Casimir energy calculations, atomic Schrödinger operators, Bose-Einstein condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a soliton-black hole connection in two-dimensional gravity, and conformal field theory.
68944-introduction-to-siegel-modular-forms-and-dirichlet-series]Introduction to Siegel Modular Forms and Dirichlet Series242598-einsteins-physics-atoms-quanta-and-relativity-derived-explained-and-appraised]Einstein's Physics: Atoms, Quanta, and Relativity - Derived, Explained, and Appraised252369-einsteins-physics-atoms-quanta-and-relativity-derived-explained-and-appraised]Einstein's Physics Atoms, Quanta, and Relativity - Derived, Explained, and Appraised29628-from-number-theory-to-physics]From Number Theory to Physics283571-introduction-to-black-hole-physics]Introduction to Black Hole Physics
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Klaus Kirsten, Floyd L. Williams, "A Window into Zeta and Modular Physics"
2010 | ISBN-10: 0521199301, 1107633931 | 360 pages | PDF | 5 MB
This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms); and (3) vertex operator algebras (correlation functions, quasimodular forms, modular invariance, rationality, and some current research topics including higher genus conformal field theory). Various concrete applications of the material to physics are presented. These include Kaluza-Klein extra dimensional gravity, Bosonic string calculations, an abstract Cardy formula for black hole entropy, Patterson-Selberg zeta function expression of one-loop quantum field and gravity partition functions, Casimir energy calculations, atomic Schrödinger operators, Bose-Einstein condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a soliton-black hole connection in two-dimensional gravity, and conformal field theory.
68944-introduction-to-siegel-modular-forms-and-dirichlet-series]Introduction to Siegel Modular Forms and Dirichlet Series242598-einsteins-physics-atoms-quanta-and-relativity-derived-explained-and-appraised]Einstein's Physics: Atoms, Quanta, and Relativity - Derived, Explained, and Appraised252369-einsteins-physics-atoms-quanta-and-relativity-derived-explained-and-appraised]Einstein's Physics Atoms, Quanta, and Relativity - Derived, Explained, and Appraised29628-from-number-theory-to-physics]From Number Theory to Physics283571-introduction-to-black-hole-physics]Introduction to Black Hole Physics
DOWNLOAD
(Buy premium account for maximum speed and resumming ability)
http://nitroflare.com/view/15D54B6E2369EF7/ovup6.A.Window.into.Zeta.and.Modular.Physics.pdf.r ar
http://rapidgator.net/file/5eba1999ed97307e6d2d19018500f4e9/ovup6.A.Window.into.Zeta.and.Modular.Physics.pdf.r ar
http://uploaded.net/file/qcmtju4i/ovup6.A.Window.into.Zeta.and.Modular.Physics.pdf.r ar
http://uploadrocket.net/0dnl1k2lusm3/ovup6.A.Window.into.Zeta.and.Modular.Physics.pdf.r ar