The Rabinowitsch-Mollin-Williams Theorem Revisited
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2009-09-06
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Abstract
We completely classify all polynomials of type which are prime or 1 for a range of consecutive integers , called Rabinowitsch polynomials, where with square-free. This corrects, extends, and completes the results by Byeon and Stark (2002, 2003) viathe use of an updated version of what Andrew Granville has dubbedthe Rabinowitsch-Mollin-Williams Theorem—by Granville and Mollin (2000) and Mollin (1996). Furthermore, we verify conjectures of this author and pose more basedon the new data.
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R. A. Mollin, “The Rabinowitsch-Mollin-Williams Theorem Revisited,” International Journal of Mathematics and Mathematical Sciences, vol. 2009, Article ID 819068, 14 pages, 2009. doi:10.1155/2009/819068