In search of the Riemann zeros : strings, fractal membranes and noncommutative spacetimes /
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| Author / Creator: | Lapidus, Michel L. (Michel Laurent), 1956- |
|---|---|
| Imprint: | Providence, R.I. : American Mathematical Society, c2008. |
| Description: | xxix, 558 p. : ill. ; 27 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6673002 |
Table of Contents:
- Introduction
- String theory on a circle and T-duality: Analogy with the Riemann zeta function Fractal strings and fractal membranes
- Noncommutative models of fractal strings: Fractal membranes and beyond
- Towards an `arithmetic site': Moduli spaces of fractal strings and membranes Vertex algebras
- The Weil conjectures and the Riemann hypothesis
- The Poisson summation formula, with applications
- Generalized primes and Beurling zeta functions
- The Selberg class of zeta functions
- The noncommutative space of Penrose tilings and quasicrystals
- Bibliography Conventions
- Index of symbols
- Subject index
- Author index
