ENTIRE FUNCTIONS SHARING ARGUMENTS OF INTEGRALITY, I
2009 ◽
Vol 05
(02)
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pp. 339-353
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Let f be an entire function that is real and strictly increasing for all sufficiently large real arguments, and that satisfies certain additional conditions, and let Xf be the set of non-negative real numbers at which f is integer valued. Suppose g is an entire function that takes integer values on Xf. We find growth conditions under which f,g must be algebraically dependent (over ℤ) on X. The result generalizes a weak form of a theorem of Pólya.
2010 ◽
Vol 53
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pp. 11-22
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Keyword(s):
1976 ◽
Vol 19
(1)
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pp. 109-112
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Keyword(s):
1973 ◽
Vol 51
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pp. 123-130
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1995 ◽
Vol 138
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pp. 169-177
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1987 ◽
Vol 9
(1)
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pp. 41-48
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2016 ◽
Vol 56
(3)
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pp. 763-776
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1995 ◽
Vol 118
(3)
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pp. 527-542
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1988 ◽
Vol 38
(3)
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pp. 351-356
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1966 ◽
Vol 15
(2)
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pp. 121-123
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