# On the sum of the first n values of the Euler function

R. Balasubramanian; Florian Luca; Dimbinaina Ralaivaosaona

Acta Arithmetica (2014)

- Volume: 163, Issue: 3, page 199-201
- ISSN: 0065-1036

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topR. Balasubramanian, Florian Luca, and Dimbinaina Ralaivaosaona. "On the sum of the first n values of the Euler function." Acta Arithmetica 163.3 (2014): 199-201. <http://eudml.org/doc/279573>.

@article{R2014,

abstract = {Let ϕ(n) be the Euler function of n. We put $E(n) = ∑_\{m≤n\} ϕ(m) - (3/π²)n²$ and give an asymptotic formula for the second moment of E(n).},

author = {R. Balasubramanian, Florian Luca, Dimbinaina Ralaivaosaona},

journal = {Acta Arithmetica},

keywords = {Euler function; mean value},

language = {eng},

number = {3},

pages = {199-201},

title = {On the sum of the first n values of the Euler function},

url = {http://eudml.org/doc/279573},

volume = {163},

year = {2014},

}

TY - JOUR

AU - R. Balasubramanian

AU - Florian Luca

AU - Dimbinaina Ralaivaosaona

TI - On the sum of the first n values of the Euler function

JO - Acta Arithmetica

PY - 2014

VL - 163

IS - 3

SP - 199

EP - 201

AB - Let ϕ(n) be the Euler function of n. We put $E(n) = ∑_{m≤n} ϕ(m) - (3/π²)n²$ and give an asymptotic formula for the second moment of E(n).

LA - eng

KW - Euler function; mean value

UR - http://eudml.org/doc/279573

ER -

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