Chapter 27 Functions of Number Theory
- Acknowledgments:
- The author thanks Basil Gordon for comments on an earlier draft, and David Bressoud for providing §§27.12, 27.18, 27.19, and 27.22.
- Notes:
- The main references used in writing this chapter are Apostol (1976, 1990), and Apostol and Niven (1994). Further information can be found in Andrews (1976), Erdélyi et al. (1955, Chapter XVII), Hardy and Wright (1979), and Niven et al. (1991).
- Referenced by:
- Tom M. Apostol, Organization and Objective, § ‣ § Software Cross Index
- Permalink:
- http://dlmf.nist.gov/27
California Institute of Technology, Pasadena, California.
- Notation
-
Multiplicative Number Theory
- 27.2 Functions
- 27.3 Multiplicative Properties
- 27.4 Euler Products and Dirichlet Series
- 27.5 Inversion Formulas
- 27.6 Divisor Sums
- 27.7 Lambert Series as Generating Functions
- 27.8 Dirichlet Characters
- 27.9 Quadratic Characters
- 27.10 Periodic Number-Theoretic Functions
- 27.11 Asymptotic Formulas: Partial Sums
- 27.12 Asymptotic Formulas: Primes
- Additive Number Theory
- Applications
- Computation