#57:
A Window into Zeta and Modular Physics
**Up:** MSRI Publications

# MSRI Publications – Volume 57

## A Window into Zeta and Modular Physics

### Edited by
Klaus Kirsten and
Floyd L. Williams

### Contents

Front matter (front page, copyright page)

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Table of Contents

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Introduction
by **Klaus Kirsten and Floyd L. Williams**, 1-5

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### Introductory Lectures

Lectures on zeta functions, L-functions and modular forms with some physical applications,
by **Floyd L. Williams**, 7-100

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Basic zeta functions and some applications in physics,
by **Klaus Kirsten**, 101-143

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Zeta functions and chaos,
by **Audrey Terras**, 145-182

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Vertex operators and modular forms,
by **Geoffrey Mason and Michael Tuite**, 183-278

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### Research Lectures

Applications of elliptic and theta functions to FRLW cosmology with cosmological constant,
by **Jennie D'Ambroise**, 279-293

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Integrable systems and 2D gravitation: How a soliton illuminates a black hole,
by **Shabnam Beheshti**, 295-306

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Functional determinants in higher dimensions using contour integrals,
by **Klaus Kirsten**, 307-328

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The role of the Patterson–Selberg zeta function of a hyperbolic cylinder in three-dimensional gravity with a negative cosmological constant,
by **Floyd L. Williams**, 329-351

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