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On a Family of Diophantine Difference Equations

On a Family of Diophantine Difference Equations The family of Diophantine difference equations considered by J. H. Conway, H. T. Croft, P. Erdős and M. J. T. Guy can be solved in closed form when the parameter is a prime. The associated characterisation problem is shown to be related to the determination of certain constants, which also happen to be coefficients in the asymptotic formula for the associated exponential sum. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

On a Family of Diophantine Difference Equations

Shiu, P.
Bulletin of the London Mathematical Society , Volume 28 (4) – Jun 1, 1996
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Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/28.4.343
Publisher site
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Abstract

The family of Diophantine difference equations considered by J. H. Conway, H. T. Croft, P. Erdős and M. J. T. Guy can be solved in closed form when the parameter is a prime. The associated characterisation problem is shown to be related to the determination of certain constants, which also happen to be coefficients in the asymptotic formula for the associated exponential sum.

Journal

Bulletin of the London Mathematical Society – Wiley

Published: Jun 1, 1996

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