Van der Corput's Method of Exponential Sums

S. W. Graham, Grigori Kolesnik (Autoren)

Buch | Softcover

132 Seiten

1991
Cambridge University Press (Verlag)
978-0-521-33927-8 (ISBN)

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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.

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.

Erscheint lt. Verlag	25.1.1991
Reihe/Serie	London Mathematical Society Lecture Note Series
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 227 mm
Gewicht	196 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-521-33927-8 / 0521339278
ISBN-13	978-0-521-33927-8 / 9780521339278
Zustand	Neuware