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Integer Points of Entire Functions
Author(s) -
Langley J. K.
Publication year - 2006
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609306018236
Subject(s) - mathematics , conjecture , integer (computer science) , combinatorics , constant (computer programming) , mathematics subject classification , polynomial , entire function , discrete mathematics , pure mathematics , mathematical analysis , computer science , programming language
A result is proved which implies the following conjecture of Osgood and Yang from 1976: if f and g are non‐constant entire functions, such that T ( r , f ) = O ( T ( r , g )) as r → ∞ and such that g ( z ∈ Z implies that f ( z ) ∈ Z, then there exists a polynomial G with coefficients in Q, such that G (Z) ⊆ Z and f = G ∘ g . 2000 Mathematics Subject Classification 30D20, 30D35.