On Schur's conjecture
1995 ◽
Vol 58
(3)
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pp. 312-357
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Keyword(s):
AbstractWe study polynomials over an integral domainRwhich, for infinitely many prime idealsP, induce a permutation ofR/P. In many cases, every polynomial with this property must be a composition of Dickson polynomials and of linear polynomials with coefficients in the quotient field ofR. In order to find out which of these compositions have the required property we investigate some number theoretic aspects of composition of polynomials. The paper includes a rather elementary proof of ‘Schur's Conjecture’ and contains a quantitative version for polynomials of prime degree.
1978 ◽
Vol 21
(3)
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pp. 373-375
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2010 ◽
Vol 09
(01)
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pp. 43-72
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Keyword(s):
2016 ◽
Vol 15
(08)
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pp. 1650149
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1974 ◽
Vol 26
(3)
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pp. 532-542
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1978 ◽
Vol 30
(6)
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pp. 1313-1318
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1996 ◽
Vol 61
(3)
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pp. 377-380
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1982 ◽
Vol 34
(1)
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pp. 169-180
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Keyword(s):
1997 ◽
Vol 40
(1)
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pp. 19-30
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2012 ◽
Vol 11
(06)
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pp. 1250112
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