Estimates for multiplicative functions, II.

In this paper we consider multiplicative functions f and g, |f| ≤ g, as in Part I, and prove P n≤x f(n) = {1 + o(1)}x ia(1 + ia) −1Ax P n≤x g(n) if the series P p (g(p) − Ref(p)p −ia)p −1 converges for some a ∈ R.

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Publication Details

Journal
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica
Published
2025-01-01
DOI
https://doi.org/10.71352/ac.58.100625
Primary Topic
Analytic Number Theory Research
Type
article
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article

Estimates for multiplicative functions, II.

Karl‐Heinz Indlekofer, Kaya Erdener
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica
Analytic Number Theory Research
article

Estimates for multiplicative functions, II.

Karl‐Heinz Indlekofer, Kaya Erdener
article en

Abstract

In this paper we consider multiplicative functions f and g, |f| ≤ g, as in Part I, and prove P n≤x f(n) = {1 + o(1)}x ia(1 + ia) −1Ax P n≤x g(n) if the series P p (g(p) − Ref(p)p −ia)p −1 converges for some a ∈ R.

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatoricaVol. 58
S&N (Germany) (DE)
Openalex Percentile: Top 80%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Estimates for multiplicative functions, II. — Karl‐Heinz Indlekofer, Kaya Erdener · Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica (2025) | TGRS Research Map | TGRS