Average Value of the Euler Function on Binary Palindromes
William D. Banks ; Igor E. Shparlinski
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006), p. 95-101 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We study values of the Euler function φ(n) taken on binary palindromes of even length. In particular, if ℬ2ℓ denotes the set of binary palindromes with precisely 2ℓ binary digits, we derive an asymptotic formula for the average value of the Euler function on ℬ2ℓ.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:286495 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-2-1,
     author = {William D. Banks and Igor E. Shparlinski},
     title = {Average Value of the Euler Function on Binary Palindromes},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {54},
     year = {2006},
     pages = {95-101},
     zbl = {1106.11004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-2-1}
}

William D. Banks; Igor E. Shparlinski. Average Value of the Euler Function on Binary Palindromes. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) pp. 95-101. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-2-1/