Titlebook: Arithmetic Functions and Integer Products; P. D. T. A. Elliott Book 1985 Springer-Verlag New York Inc. 1985 Arithmetic.Functions.Lemma.Pri

ABHOR

Juvenile

殺子女者

LARK

Variants of Well-Known Arithmetic InequalitiesIn this chapter I derive new variants of some well-known inequalities.

insert

A Diophantine EquationIn accordance with the first motive I study the diophantine equation. Here . are (large) integers of comparable size, and we look for solution triplets {.} in integers of smaller size.

duplicate

中止

condescend

Additive Functions on Arithmetic Progressions with Large ModuliIn this chapter I study the behaviour of additive functions .(.) on short arithmetic progressions which have large differences. I shall make essential use of these results in the next chapter.

是貪求

Additive Arithmetic Functions on DifferencesIn this chapter I establish inequalities which measure the control the differences of an additive function have over its values on the powers of primes.

疏忽

Some Historical RemarksIn the next three chapters I solve completely a problem of Kátai; and improve and generalize a theorem of Wirsing. These problems involve the characterization of additive arithmetic functions in terms of their differences.