Abstract

We extend previous results of Delange (Acta Arith.21, 1972, 285–298) concerning the existence of distribution functions of certainq-adic digital functions to the case of digital expansions with respect to linear recurrences with decreasing coefficients. Furthermore we investigate a special case of digital functions and give a functional equation for the related distribution function. We prove uniqueness and continuity of the solution of this equation.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.