On the Length Function of Saturations of Ideal Powers
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DOI: 10.1007/s40306-018-0245-4
Abstract: For an ideal I in a Noetherian local ring (R,????)$(R, \mathfrak {m})$, we prove that the integer-valued function ℓR(H????0(R/In+1))$\ell _{R}(H^{0}_{\mathfrak {m}}(R/I^{n + 1}))$ is a polynomial for n big enough if either I is a… read more here.
Keywords: function saturations; generated part; saturations ideal; length function ... See more keywords
EXCEPTIONAL SETS RELATED TO THE RUN-LENGTH FUNCTION OF BETA-EXPANSIONS
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DOI: 10.1142/s0218348x18500494
Abstract: Let β > 1 and x ∈ [0, 1] be real numbers. The run-length function of β-expansions denoted by rn(x,β) is defined as the maximal length of consecutive zeros in the first n digits of… read more here.
Keywords: exceptional sets; run length; length function; sets related ... See more keywords
Extremely Exceptional Sets on Run-Length Function for Reals in Beta-Dynamical System
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DOI: 10.3390/axioms14080631
Abstract: The extremely exceptional set for the run-length function in the beta-dynamical system is investigated in this study. For any real x in (0,1], the run-length function related to x that measures the maximal length of… read more here.
Keywords: length function; beta dynamical; run length; extremely exceptional ... See more keywords