DIRICHLET SERIES IDENTITY INVOLVING THE TOTIENT AND MÖBIUS FUNCTIONS

We use the Ramanujan’s sums and an Ivic’s formula to show a Dirichlet series identity involving the Möbius and Euler totient functions.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-31
DOI
https://doi.org/10.5281/zenodo.23839045
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
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article

DIRICHLET SERIES IDENTITY INVOLVING THE TOTIENT AND MÖBIUS FUNCTIONS

R. Sivaraman & J. López-Bonilla
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

DIRICHLET SERIES IDENTITY INVOLVING THE TOTIENT AND MÖBIUS FUNCTIONS

R. Sivaraman & J. López-Bonilla
article en

Abstract

We use the Ramanujan’s sums and an Ivic’s formula to show a Dirichlet series identity involving the Möbius and Euler totient functions.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 4%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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DIRICHLET SERIES IDENTITY INVOLVING THE TOTIENT AND MÖBIUS FUNCTIONS — R. Sivaraman & J. López-Bonilla · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS