Geodesic
Average Value of the Euler Function on Binary Palindromes
William D. Banks1 ; Igor E. Shparlinski2
1Department of Mathematics University of Missouri Columbia, MO 65211, U.S.A.
2Department of Computing Macquarie University Sydney, NSW 2109, Australia
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 2, pp. 95-101
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We study values of the Euler function $\varphi(n)$ taken on binary palindromes of even length. In particular, if ${\mathcal B}_{2\ell}$ denotes the set of binary palindromes with precisely $2\ell$ binary digits, we derive an asymptotic formula for the average value of the Euler function on ${\mathcal B}_{2\ell}$.
DOI : 10.4064/ba54-2-1
Keywords: study values euler function varphi taken binary palindromes even length particular mathcal ell denotes set binary palindromes precisely ell binary digits derive asymptotic formula average value euler function nbsp mathcal ell

William D. Banks  1   ; Igor E. Shparlinski  2

1 Department of Mathematics University of Missouri Columbia, MO 65211, U.S.A.
2 Department of Computing Macquarie University Sydney, NSW 2109, Australia 
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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) no. 2, pp. 95-101. doi: 10.4064/ba54-2-1

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