This book is a self-contained account of the one- and two-dimensional van der Corput method and its use in estimating exponential sums. These arise in many problems in analytic number theory. It is the first cohesive account of much of this material and will be welcomed by graduates and professionals in analytic number theory. The authors show how the method can be applied to problems such as upper bounds for the Riemann-Zeta function. the Dirichlet divisor problem, the distribution of square free numbers, and the Piatetski-Shapiro prime number theorem.
Reihe
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Illustrationen
Worked examples or Exercises
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 8 mm
Gewicht
ISBN-13
978-0-521-33927-8 (9780521339278)
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Schweitzer Klassifikation
1. Introduction; 2. The simplest Van Der Corput estimates; 3. The method of exponent pairs; 4. Application of exponent pairs; 5. Computing optimal exponent pairs; 6. Two dimensional exponential sums; 7. New exponent pairs.
