The zeta function of the beta transformation
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Publication:4300035
DOI10.1017/S0143385700007860zbMath0843.58106OpenAlexW2052282156MaRDI QIDQ4300035
Jeffrey C. Lagarias, Bjorn Poonen, Leopold Flatto
Publication date: 8 September 1994
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385700007860
Other Dirichlet series and zeta functions (11M41) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Low-dimensional dynamical systems (37E99)
Related Items (21)
Dynamical directions in numeration ⋮ On gaps in Rényi \(\beta\)-expansions of unity for \(\beta>1\) an algebraic number ⋮ A chaotic lattice field theory in one dimension* ⋮ On a class of lacunary almost Newman polynomials modulo \(p\) and density theorems ⋮ Eigenfunctions of the Perron–Frobenius operators for generalized beta-maps ⋮ Beta expansion for some particular sequences of Salem numbers ⋮ Discontinuities cause essential spectrum ⋮ On beta expansions for Pisot numbers ⋮ On the beta expansion for Salem numbers of degree 6 ⋮ Harmonic analysis of iterated function systems with overlap ⋮ Dynamically affine maps in positive characteristic ⋮ Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients ⋮ Zeta function and negative beta-shifts ⋮ On the Normality of Arithmetical Constants ⋮ Explicit bounds for multidimensional linear recurrences with restricted coefficients ⋮ On the reducibility and the lenticular sets of zeroes of almost Newman lacunary polynomials ⋮ On the dichotomy of Perron numbers and beta-conjugates ⋮ On the co-factors of degree 6 Salem number beta expansions ⋮ Beta expansion of Salem numbers approaching Pisot numbers with the finiteness property ⋮ Second-order bounds for linear recurrences with negative coefficients ⋮ A bound for linear recurrence relations with unbounded order
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- On algebraic equations with all but one root in the interior of the unit circle. To my teacher and former colleague Erhard Schmidt on his 75th birthday
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