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Generalized Büchi's problem for algebraic functions and meromorphic functions
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Generalized Büchi's problem for algebraic functions and meromorphic functions

Ta Thi Hoai An, Hsiu-Lien Huang 和 Julie Tzu-Yueh Wang
Mathematische Zeitschrift, 卷.273(1-2), 頁碼.95-122
2013
DOI: https://doi.org/10.1007/s00209-012-0997-9

摘要

14H05 Primary 11D41 Secondary 11J97 Mathematics (all)
Büchi's nth power problem asks is there a positive integer M such that any sequence (x 1 1 ...x n M of nth powers of integers with nth difference equal to n! is necessarily a sequence of nth powers of successive integers. In this paper, we study an analogue of this problem for meromorphic functions and algebraic functions. © 2012 Springer-Verlag.

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