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Average Value of the Euler Function on Binary Palindromes

William D. Banks, Igor E. Shparlinski (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

We study values of the Euler function φ(n) taken on binary palindromes of even length. In particular, if 2 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 2 .

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