#
Automorphic forms and string theory: Small automorphic representations and non-perturbative effects
Doctoral thesis, 2017

instantons

automorphic forms

automorphic representations

Eisenstein series

U-duality

non-perturbative effects

string theory

## Author

### Henrik Gustafsson

Chalmers, Physics, Theoretical Physics

### Small automorphic representations and degenerate Whittaker vectors

Journal of Number Theory,; Vol. 166(2016)p. 344-399

**Journal article**

### Philipp Fleig, HG, Axel Kleinschmidt, Daniel Persson. Eisenstein series and automorphic representations

### Olof Ahlén, HG, Axel Kleinschmidt, Baiying Liu, Daniel Persson. Fourier coefficients attached to small automorphic representations of SLn(A)

String theory is a quantum theory of gravity and its partition function carries information about the quantum states of the theory and their interactions. Because of the many symmetries of string theory, the partition function can be described by functions called automorphic forms. In this thesis, I study such automorphic forms and compute their Fourier coefficients which contain important information about instantons and black holes.

### Roots

Basic sciences

### Subject Categories

Geometry

Other Physics Topics

Mathematical Analysis

### ISBN

978-91-7597-609-9

Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie: 4290

### Publisher

Chalmers University of Technology

PJ-salen, Fysik Origo, Fysikgården 2

Opponent: Professor Solomon Friedberg, Department of Mathematics, Boston College, USA