Instituto de MatemáticasUniversidad Nacional Autónoma de México
Igor E. Shparlinski
Department of ComputingMacquarie University
Cite this article as:
Banks, W., Luca, F. & Shparlinski, I. manuscripta math. (2005) 117: 183. doi:10.1007/s00229-005-0564-3
We study formal power series whose coefficients are taken to be a variety of number theoretic functions, such as the Euler, Möbius and divisor functions. We show that these power series are irrational over ℤ[X], and we obtain lower bounds on the precision of their rational approximations.