Power series with coefficients from a finite set

Bell Jason P.; Chen Shaoshi

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Power series with coefficients from a finite set

机译：来自有限集的系数的电源系列

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摘要

We prove in this paper that a multivariate D-finite power series with coefficients from a finite set is rational. This generalizes a rationality theorem of van der Poorten and Shparlinski in 1996. (C) 2017 Elsevier Inc. All rights reserved.

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《Journal of Combinatorial Theory, Series A》 |2017年第2017期|共13页
作者
Bell Jason P.; Chen Shaoshi;
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作者单位

Univ Waterloo Dept Pure Math Waterloo ON N2L 3G1 Canada;

Chinese Acad Sci AMSS Key Lab Math Mechanizat Beijing 100190 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Power series; Szego's theorem; D-finiteness; Integer points;

机译：Power系列;Szego的定理;D-Finiteness;整数点;

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2. A Note on z-Ideals and z°-Ideals of the Formal Power Series Rings and Polynomial Rings in an Infinite Set of Indeterminates [J] . Ahmed Maatallah, Ali Benhissi 代数集刊（英文版） . 2020,第003期
3. SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS [J] . 张光辉, 刘宏伟数学物理学报（英文版） . 2013,第006期
4. Simulation of Voltage SET Operation in Phase-Change Random Access Memories with Heater Addition and Ring-Type Contactor for Low-Power Consumption by Finite Element Modeling [J] . GONG Yue-Feng, SONG Zhi-Tang, LING Yun, 中国物理快报：英文版 . 2010,第006期
5. Root Sets of Polynomials and Power Series with Finite Choices of Coefficients [J] . Simon Baker, Han Yu Computational methods and function theory . 2018,第1期

机译：多项式和幂级数的根集以及系数的有限选择
6. Power series with coefficients from a finite set [J] . Bell Jason P., Chen Shaoshi Journal of Combinatorial Theory, Series A . 2017,第期

机译：来自有限集的系数的电源系列
7. Power series coefficients for probabilities in finite classical groups [J] . Britnell JR, Fulman J Journal of Algebra . 2006,第2期

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8. Non-negative Matrix Factorization of a set of Economic Time Series with Graph Based Smoothing of Basis Vectors and Sparseness of the Coefficients [C] . Ueda Ueda, Yuichiro Nomura, Junichi Miyao, IEEE International Conference on Systems, Man, and Cybernetics . 2020

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9. Finite Control Set Model Predictive Control of Direct Matrix Converter and Dual-Output Power Converters [D] . Gulbudak, Ozan. 2016

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10. ON POWER SERIES WITH UNBOUNDED CLUSTER SETS AND FUNCTIONS OF CLASS H2 WITH MEAGER SETS OF RADIAL CONTINUITY [O] . F. Bagemihl 1956

机译：具有无界簇集的幂级数和具有径向连续性度量集的H2类功能
11. Root sets of polynomials and power series with finite choice of coefficients [O] . Baker Simon, Yu Han 2017

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12. Precise solution for a finite set of spherical coefficients from equiangular gridded data [R] . Zucker, Paul A. 1989

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Power series with coefficients from a finite set

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