Hostname: page-component-cb9f654ff-hqlzj Total loading time: 0 Render date: 2025-08-23T07:50:31.143Z Has data issue: false hasContentIssue false
  • English
  • Français

Frequency of oscillations of an error term related to the Euler function

Part of: Multiplicative number theory

Published online by Cambridge University Press:  26 February 2010

Yuk-Kam Lau  and
Y. -F. S. Pétermann
Yuk-Kam Lau
Affiliation:
Institut Élie Cartan, Université Henri Poincaré (Nancy 1), 54506 Vandœuvre-lès-Nancy Cedex, France. E-mail: lau@antares.iecn.u-nancy.fr
Y. -F. S. Pétermann
Affiliation:
Université de Genève, Section de Mathématiques, 2–4, rue de Lièvre, C.P. 240, 1211 Genève 24, Suisse. E-Mail: peterman@sc2a.unige.ch
Get access

Abstract

Let φ be the Euler function, and consider the error term H in the asymptotic formula

MSC classification

Secondary: 11N64: Other results on the distribution of values or the characterization of arithmetic functions

Information

Type
Research Article
Information
Mathematika , Volume 47 , Issue 1-2 , December 2000 , pp. 161 - 164
Copyright
Copyright © University College London 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1.Erdős, P. and Shapiro, H. M.. The existence of a distribution function for an error term related to the Euler function. Canad. J. Math., 7 (1955), 63–75.CrossRefGoogle Scholar
2.Lau, Y.-K.. Sign changes of error terms related to the Euler function. Mathematika (to appear).Google Scholar
3.Pétermann, Y.-F. S.. On the distribution of values of an error term related to the Euler function. Théorie des nombres (Québec, PQ, 1987), (de Gruyter, Berlin, 1989), 785–797.Google Scholar