Skip to content

 

Due to a database error, the log in function is not available at this time and so purchasing through the site is not currently possible. We are working to fix this issue as quickly as possible. Thank you for your patience.

Open global navigation

Cambridge University Press

AcademicLocation selectorSearch toggleMain navigation toggle
Cart
Register Sign in Wishlist

A Window into Zeta and Modular Physics

$101.00

Part of Mathematical Sciences Research Institute Publications

Floyd L. Williams, Klaus Kirsten, Audrey Terras, Geoffrey Mason, Michael Tuite, Jennie D'Ambroise, Shabnam Beheshti
View all contributors
  • Date Published: May 2010
  • availability: In stock
  • format: Hardback
  • isbn: 9780521199308

$101.00
Hardback

Add to cart Add to wishlist

Other available formats:
Paperback


Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
About the Authors
  • 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.

    • The book consists of lectures that are part of the distinguished series of MSRI workshops
    • A serious attempt is made to bridge various gaps between mathematics and physics where, in particular, students and non-experts are targeted
    • Links and interesting interconnections between seemingly unrelated topics in these fields (mathematics and physics) are consistently explored, with a fair amount of detail and exposition
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: May 2010
    • format: Hardback
    • isbn: 9780521199308
    • length: 360 pages
    • dimensions: 242 x 164 x 20 mm
    • weight: 0.63kg
    • availability: In stock
  • Table of Contents

    Part I. Introductory Lectures:
    1. Lectures on zeta functions, L-functions and modular forms with some physical applications Floyd L. Williams
    2. Basic zeta functions and some applications in physics Klaus Kirsten
    3. Zeta functions and chaos Audrey Terras
    4. Vertex operators and modular forms Geoffrey Mason and Michael Tuite
    Part II. Research Lectures:
    5. Applications of elliptic and theta functions to Friedmann-Robertson-Lemaître-Walker cosmology with cosmological constant Jennie D'Ambroise
    6. Integrable systems and 2D gravitation: how a soliton illuminates a black hole Shabnam Beheshti
    7. Functional determinants in higher dimensions using contour integrals Klaus Kirsten
    8. The role of the Patterson-Selberg zeta function of a hyperbolic cylinder in three-dimensional gravity with a negative cosmological constant Floyd L. Williams.

  • Editors

    Klaus Kirsten, Baylor University, Texas
    Dr Klaus Kirsten is a Professor of Mathematics at Baylor University. He is the author of Spectral Functions in Mathematics and Physics (2002) and more than 100 refereed articles in international journals.

    Floyd L. Williams, University of Massachusetts, Amherst
    Floyd L. Williams is Emeritus Professor of Mathematics at the University of Massachusetts, Amherst. He has edited or authored 27 books and published 78 research papers in math and physics journals. Williams has given more than 100 invited lectures at numerous universities in America and in some 20 different countries around the world.

    Contributors

    Floyd L. Williams, Klaus Kirsten, Audrey Terras, Geoffrey Mason, Michael Tuite, Jennie D'Ambroise, Shabnam Beheshti

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

You are now leaving the Cambridge University Press website, your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Find content that relates to you

© Cambridge University Press 2014

Back to top

Are you sure you want to delete your account?

This cannot be undone.

Cancel Delete

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×