Distribution Properties ofG-Additive Functions

✍ Scribed by Guy Barat; Peter J. Grabner

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 907 KB
• Volume: 60
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1996.0116

✦ Synopsis

We extend previous results of Delange (Acta Arith. 21, 1972, 285 298) concerning the existence of distribution functions of certain q-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.