Montgomery, Hugh L.
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, c1994. xiii, 220 p. : il. ; 25 cm. — (Regional conference series in mathematics, ISSN 0160-7642 ; no. 84)
"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.
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.
ISBN 0821807374
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