On the average order of ideal functions and other arithmetical functions

Bruce C. Berndt

doi:10.1090/S0002-9904-1970-12634-9

On the average order of ideal functions and other arithmetical functions

Bruce C. Berndt

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a large class of arithmetical functions generated by Dirichlet series satisfying a functional equation with gamma factors. We state a general O-theorem for the average order of these arithmetical functions and apply the result to ideal functions of algebraic number fields.

Original language	English (US)
Pages (from-to)	1270-1274
Number of pages	5
Journal	Bulletin of the American Mathematical Society
Volume	76
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9904-1970-12634-9
State	Published - Nov 1970

Keywords

Arithmetical function
Average order
Error term
Functional equation with gamma factors
Ideal function

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9904-1970-12634-9

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On the average order of ideal functions and other arithmetical functions

Abstract

Keywords

ASJC Scopus subject areas

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