Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorMcCarthy, Paul J. author
TitleIntroduction to Arithmetical Functions [electronic resource] / by Paul J. McCarthy
ImprintNew York, NY : Springer New York, 1986
Connect to
Descript 365p. online resource


The theory of arithmetical functions has always been one of the more active parts of the theory of numbers. The large number of papers in the bibliography, most of which were written in the last forty years, attests to its popularity. Most textbooks on the theory of numbers contain some information on arithmetical functions, usually results which are classical. My purpose is to carry the reader beyond the point at which the textbooks abandon the subject. In each chapter there are some results which can be described as contemporary, and in some chapters this is true of almost all the material. This is an introduction to the subject, not a treatise. It should not be expected that it covers every topic in the theory of arithmetical functions. The bibliography is a list of papers related to the topics that are covered, and it is at least a good approximation to a complete list within the limits I have set for myself. In the case of some of the topics omitted from or slighted in the book, I cite expository papers on those topics


1. Multiplicative Functions -- 2. Ramanujan Sums -- 3. Counting Solutions of Congruences -- 4. Generalizations of Dirichlet Convolution -- 5. Dirichlet Series and Generating Functions -- 6. Asymptotic Properties of Arithmetical Functions -- 7. Generalized Arithmetical Functions -- References

Mathematics Number theory Mathematics Number Theory


Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network


facebook   instragram