Number Theory, Fourier Analysis and Geometric Discrepancy

ISBN: 9781107619852 出版年：2014 页码：252 Travaglini Cambridge University Press

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.