Ten lectures on the interface between analytic number theory and harmonic analysis
Hugh L. Montgomery.
Providence, R.I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, ©1994.
xiii, 220 págs. : ilustraciones ; 25 cm.
Serie: Regional conference series in mathematics, ISSN 0160-7642 ; no. 84
ISBN: 0821807374
"Expository lectures from the NSF-CBMS regional conference held at Kansas State University, Manhattan, Kansas, May 22-25, 1990"—T.p. verso.
Incluye referencias bibliográficas (p. 210-213) e índice.
Reseña: MathSciNet, 96i:11002
Contenido
- 1. Uniform distribution
- 2. van der Corput sets
- 3. Exponential sums I: The methods of Weyl and van der Corput
- 4. Exponential sums II: Vinogradov's method
- 5. An introduction to Turán's method
- 6. Irregularities of distribution
- 7. Mean and large values of Dirichlet polynomials
- 8. Distribution of reduced residue classes in short intervals
- 9. Zeros of L-functions
- 10. Small polynomials
- Appendix: Some unsolved problems.
