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On arithmetic progressions of equal lengths with equal products

Published online by Cambridge University Press:  24 October 2008

N. Saradha ,
T. N. Shorey  and
R. Tijdeman
N. Saradha
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
T. N. Shorey
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
R. Tijdeman
Affiliation:
Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands
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Abstract

It is shown that apart from

there are only finitely many arithmetic progressions with given differences of equal lengths ≥ 2 and with equal products and that they can be effectively determined.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 117 , Issue 2 , March 1995 , pp. 193 - 201
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

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