Average Value of the Euler Function on Binary Palindromes
William D. Banks; Igor E. Shparlinski
Bulletin of the Polish Academy of Sciences. Mathematics (2006)
- Volume: 54, Issue: 2, page 95-101
- ISSN: 0239-7269
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topWilliam D. Banks, and Igor E. Shparlinski. "Average Value of the Euler Function on Binary Palindromes." Bulletin of the Polish Academy of Sciences. Mathematics 54.2 (2006): 95-101. <http://eudml.org/doc/286495>.
@article{WilliamD2006,
abstract = {We study values of the Euler function φ(n) taken on binary palindromes of even length. In particular, if $ℬ_\{2ℓ\}$ 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 $ℬ_\{2ℓ\}$.},
author = {William D. Banks, Igor E. Shparlinski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {binary palindromes; Euler function; average; estimates},
language = {eng},
number = {2},
pages = {95-101},
title = {Average Value of the Euler Function on Binary Palindromes},
url = {http://eudml.org/doc/286495},
volume = {54},
year = {2006},
}
TY - JOUR
AU - William D. Banks
AU - Igor E. Shparlinski
TI - Average Value of the Euler Function on Binary Palindromes
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 2
SP - 95
EP - 101
AB - We study values of the Euler function φ(n) taken on binary palindromes of even length. In particular, if $ℬ_{2ℓ}$ 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 $ℬ_{2ℓ}$.
LA - eng
KW - binary palindromes; Euler function; average; estimates
UR - http://eudml.org/doc/286495
ER -
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