Number Theory, Fourier Analysis and Geometric Discrepancy (Hardcover)

Part I. Elementary Number Theory: 1. Prelude; 2. Arithmetic functions and integer points; 3. Congruences; 4. Quadratic reciprocity and Fourier series; 5. Sums of squares; Part II. Fourier Analysis and Geometric Discrepancy: 6. Uniform distribution and completeness of the trigonometric system; 7. Discrepancy and trigonometric approximation; 8. Integer points and Poisson summation formula; 9. Integer points and exponential sums; 10. Geometric discrepancy and decay of Fourier transforms; 11. Discrepancy in high dimension and Bessel functions; References; Index.