Paperfolding, Automata, and Rational Functions - Diagonals and ...

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Abducted by an alien circus company, Professor Doyle is forced to write calculus equations in centre ring. 3
Paperfolding, Automata, and Rational Functions Diagonals and Hadamard products of algebraic power series Alf van der Poorten ceNTRe for Number Theory Research, Sydney 08 November, 2007 Laramie 4
Page 1: Paperfolding, Automata, and Rationa
Page 7 and 8: Paperfolding Take a rectangular she
Page 31 and 32: A Mahler Functional Equation Aside.
Page 47 and 48: Next, if we pair the sequence Regul
Page 49 and 50: Next, if we pair the sequence Regul
Page 51 and 52: The uniform, or regular, 2-substitu
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The uniform, or regular, 2-substitu
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Characteristic Functions I found th
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An Algebraic Equation in Characteri
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These remarks show that the paperfo
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These remarks show that the paperfo
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The Thue-Morse Sequence 0 1 10 11 1
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The Thue-Morse Sequence 0 1 10 11 1
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Euler’s Identity and a Functional
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An Algebraic Equation The function
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A Counter-example in Analysis I cla
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The Shapiro Sequence Consider, the
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A Remark on the Shapiro Function Se
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Transcendence of Automatic Numbers
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Complexity of a Sequence Given an i
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Complexity of a Sequence Given an i
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Algebraicity and Automaticity The p
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Comments on the Proof The best proo
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But for expansions over the complex
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Power Series in Several Variables R
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Diagonals and Hadamard Products The
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Diagonals and Hadamard Products The
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A Theorem of Furstenberg It follows
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As said, in characteristic zero, ne
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A Beautiful Transcendence Argument
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A Beautiful Transcendence Argument
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Breaking Up in Characteristic p The
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Algebraic power series in character
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Hence, since Fp is finite, there ar
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Hence, since Fp is finite, there ar
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Suppose the series P aνx ν is gen
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So we have: Theorem. P aνx ν ∈
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The Lifting Theorem Looking careful
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Diagonals of Rational Functions Now
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Whilst (i) and (ii) are reasonably
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References MICHEL DEKKING, MICHEL M
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