Some expansion theorems for the H-function
P. Skibiński (1970)
Annales Polonici Mathematici
Similarity:
P. Skibiński (1970)
Annales Polonici Mathematici
Similarity:
W.H. Echols (1893)
Bulletin of the New York Mathematical Society
Similarity:
T. V. Narayana, E. Goodman (1969)
Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
Similarity:
W.H. Echols (1893)
Bulletin of the New York Mathematical Society
Similarity:
Hachem Hichri (2015)
Acta Arithmetica
Similarity:
It is already known that all Pisot numbers are beta numbers, but for Salem numbers this was proved just for the degree 4 case. In 1945, R. Salem showed that for any Pisot number θ we can construct a sequence of Salem numbers which converge to θ. In this short note, we give some results on the beta expansion for infinitely many sequences of Salem numbers obtained by this construction.
Luís Roçadas (2003)
Acta Arithmetica
Similarity:
Jaradat, Mihaela (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
Similarity:
Thomas Stoll (2006)
Acta Arithmetica
Similarity:
Manojlo Maravić (1989)
Publications de l'Institut Mathématique
Similarity:
Auger, Pierre, Labelle, Gilbert, Leroux, Pierre (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
Similarity:
Levine, L.E., Obi, W.C. (1984)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Vilmos Komornik, Anna Chiara Lai, Marco Pedicini (2011)
Journal of the European Mathematical Society
Similarity:
Expansions in noninteger bases often appear in number theory and probability theory, and they are closely connected to ergodic theory, measure theory and topology. For two-letter alphabets the golden ratio plays a special role: in smaller bases only trivial expansions are unique, whereas in greater bases there exist nontrivial unique expansions. In this paper we determine the corresponding critical bases for all three-letter alphabets and we establish the fractal nature of these bases...
J. Ławrynowicz (1966)
Annales Polonici Mathematici
Similarity:
Magnen, Jacques, Rivasseau, Vincent (1995)
Mathematical Physics Electronic Journal [electronic only]
Similarity: