Download E-books A Window into Zeta and Modular Physics (Mathematical Sciences Research Institute Publications) PDF

This e-book presents an advent to (1) a variety of zeta features (for instance, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle), together with graph zeta features; (2) modular types (Eisenstein sequence, Hecke and Dirichlet L-functions, Ramanujan's tau functionality, and cusp forms); and (3) vertex operator algebras (correlation services, quasimodular kinds, modular invariance, rationality, and a few present examine themes together with better genus conformal box theory). a number of concrete functions of the cloth to physics are offered. those contain Kaluza-Klein additional dimensional gravity, Bosonic string calculations, an summary Cardy formulation for black gap entropy, Patterson-Selberg zeta functionality expression of one-loop quantum box and gravity partition capabilities, Casimir power calculations, atomic Schrödinger operators, Bose-Einstein condensation, warmth kernel asymptotics, random matrices, quantum chaos, elliptic and theta functionality ideas of Einstein's equations, a soliton-black gap connection in two-dimensional gravity, and conformal box idea.

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