TY  - BOOK
AU  - Tao,Terence
TI  - Higher order Fourier analysis
T2  - Graduate studies in mathematics
SN  - 9780821889862 (alk. paper)
U1  - 515.2433 23
PY  - 2012///
CY  - Providence
PB  - American Mathematical Society
KW  - Fourier analysis
KW  - Number theory
KW  - Sequences and sets
KW  - Arithmetic combinatorics; higher degree uniformity
KW  - Dynamical systems and ergodic theory
KW  - Ergodic theory
KW  - Relations with number theory and harmonic analysis
KW  - Connections with logic
KW  - Ultraproducts
KW  - Exponential sums and character sums
KW  - Estimates on exponential sums
N1  - Includes bibliographical references (pages 179-183) and index; Chapter 1: Higher order Fourier analysis. Chapter 2: Related articles
N2  - Uses linear phase functions to study functions. Aims to cover all topics in a unified manner, as well as to survey some of the most recent developments, such as the application of the theory to count linear patterns in primes
ER  -