A complete determination of Rabinowitsch polynomials |
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| Authors: | Dongho Byeon |
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| Affiliation: | a Department of Mathematics, Seoul National University, Seoul 151-747, Republic of Korea
b Department of Mathematics, KIAS, Seoul 130-722, Republic of Korea |
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| Abstract: | Let m be a positive integer and fm(x) be a polynomial of the form fm(x)=x2+x−m. We call a polynomial fm(x) a Rabinowitsch polynomial if for  and consecutive integers x=x0,x0+1,…,x0+s−1, |fm(x)| is either 1 or prime. In this paper, we show that there are exactly 14 Rabinowitsch polynomials fm(x). |
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| Keywords: | 11R11 11R29 11R42 |
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