Absolutely continuous distribution functions of additive functions
G. Jogesh Babu (1975)
Acta Arithmetica
Ershov, Yu.L. (2004)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Kazimierz Szymiczek (1987)
Colloquium Mathematicae
Michel Rigo, Wolfgang Steiner (2005)
Journal de Théorie des Nombres de Bordeaux
For abstract numeration systems built on exponential regular languages (including those coming from substitutions), we show that the set of real numbers having an ultimately periodic representation is if the dominating eigenvalue of the automaton accepting the language is a Pisot number. Moreover, if is neither a Pisot nor a Salem number, then there exist points in which do not have any ultimately periodic representation.
Stanton, William G., Holdener, Judy A. (2007)
Journal of Integer Sequences [electronic only]
Briggs, Keith (2006)
Experimental Mathematics
Henri COHEN (1980/1981)
Seminaire de Théorie des Nombres de Bordeaux
Mary E. Gbur (1977)
Monatshefte für Mathematik
A. Mouhib (2015)
Acta Arithmetica
Florian Luca, Carl Pomerance (2012)
Colloquium Mathematicae
Stephen V. Ullom (1983)
Mathematische Zeitschrift
Anatolii N. Andrianov (1980)
Mathematische Annalen
Anatoli N. Andrianov, Fedor A. Andrianov (2004)
Acta Arithmetica
Daniel Berend (1987)
Acta Arithmetica
Andrzej Schinzel (1980)
Acta Arithmetica
H. Halberstam, H.-E. Richert (1975)
Acta Arithmetica
K. Thanigasalam (1983)
Acta Arithmetica
Armand Borel, Gopal Prasad (1990)
Publications Mathématiques de l'IHÉS
Stéphane Bouboutin (1991)
Manuscripta mathematica
S. Akhtari, A. Togbé, P. G. Walsh (2009)
Acta Arithmetica