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

Abstract

top
Let ϕ(n) be the Euler function of n. We put E ( n ) = m n ϕ ( m ) - ( 3 / π ² ) n ² and give an asymptotic formula for the second moment of E(n).

How to cite

top

R. 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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.