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The simultaneous representation of integers by products of certain rational functions

Published online by Cambridge University Press:  09 April 2009

P. D. T. A. Elliott
P. D. T. A. Elliott
Affiliation:
University of ColoradoBoulder, Colorado 80309, U.S.A.
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Abstract

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It is proved that an arbitrary pair of positive integers can be simultaneously represented by products of the values at integer points of certain rational functions. Linear recurrences in Z-modules and elliptic power sums are applied.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 35 , Issue 3 , December 1983 , pp. 405 - 420
Copyright
Copyright © Australian Mathematical Society 1983

References

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