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Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis

About this Title

Hugh L. Montgomery, University of Michigan, Ann Arbor, MI

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1994; Volume 84
ISBNs: 978-0-8218-0737-8 (print); 978-1-4704-2444-2 (online)
DOI: https://doi.org/10.1090/cbms/084
MathSciNet review: MR1297543
MSC: Primary 11-02; Secondary 11Kxx, 11L07, 11Mxx, 11Nxx

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Table of Contents

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Front/Back Matter

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Chapters

• 1. Uniform distribution (chapter 1)
• 2. van der Corput sets (chapter 2)
• 3. Exponential sums. I: The methods of Weyl and van der Corput (chapter 3)
• 4. Exponential sums. II: Vinogradov’s method (chapter 4)
• 5. An introduction to Turan’s method (chapter 5)
• 6. Irregularities of distribution (chapter 6)
• 7. Mean and large values of Dirichlet polynomials (chapter 7)
• 8. Distribution of reduced residue classes in short intervals (chapter 8)
• 9. Zeros of L-functions (chapter 9)
• 10. Small polynomials with integral coefficients (chapter 10)
• 11. Some unsolved problems (appendix)