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Ten lectures on the interface between analytic number theory and harmonic analysis

Author: Hugh L Montgomery
Publisher: Providence, R.I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, ©1994.
Series: CBMS Regional Conference Series in Mathematics, v. 84
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
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Genre/Form: Conference papers and proceedings
Additional Physical Format: Print version:
Montgomery, Hugh L.
Ten lectures on the interface between analytic number theory and harmonic analysis /
(DLC) 94026864
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hugh L Montgomery
ISBN: 9781470424442 1470424444
OCLC Number: 1086464057
Notes: "Expository lectures from the NSF-CBMS regional conference held at Kansas State University, Manhattan, May 22-25, 1990"--T.p. verso.
Description: 1 online resource (xiii, 220 p. : ill.).
Contents: 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)
Series Title: CBMS Regional Conference Series in Mathematics, v. 84
Responsibility: Hugh L. Montgomery.

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