Discrete spectra and Pisot numbers

Details Discrete spectra and Pisot numbers Discrete spectra and Pisot numbers

2011-03-23

arxiv.org/abs/1103.4508v1

Mathematics

Number Theory

Scientific paper

By the m-spectrum of a real number q>1 we mean the set Y^m(q) of values p(q) where p runs over the height m polynomials with integer coefficients. These sets have been extensively investigated during the last fifty years because of their intimate connections with infinite Bernoulli convolutions, spectral properties of substitutive point sets and expansions in noninteger bases. We prove that Y^m(q) has an accumulation point if and only if q

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