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Irrationality of Power Series for Various Number Theoretic Functions
- Source :
- manuscripta mathematica. 117:183-197
- Publication Year :
- 2005
- Publisher :
- Springer Science and Business Media LLC, 2005.
-
Abstract
- We study formal power series whose coefficients are taken to be a variety of number theoretic functions, such as the Euler, Mobius 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.
Details
- ISSN :
- 14321785 and 00252611
- Volume :
- 117
- Database :
- OpenAIRE
- Journal :
- manuscripta mathematica
- Accession number :
- edsair.doi...........ef986b2a6215772c26d0febfae0c9afc