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An essay on diophantine equations for analytic functions

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Publication:1895660
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zbMath0870.11077MaRDI QIDQ1895660

Lee A. Rubel

Publication date: 7 September 1995

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

algorithmdiophantine equationsrings of analytic functionsexistence of nonconstant analytic solutionsmethod for constructing nonconstant entire functions


Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Entire functions of one complex variable (general theory) (30D20) Decidability of theories and sets of sentences (03B25) First-order arithmetic and fragments (03F30)


Related Items (2)

An analogue of Hilbert's 10th problem for fields of meromorphic functions over non-Archimedean valued fields ⋮ Uniform existential interpretation of arithmetic in rings of functions of positive characteristic




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