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Divisor Sums of Generalised Exponential Polynomials

Published online by Cambridge University Press:  20 November 2018

G. R. Everest  and
I. E. Shparlinski
G. R. Everest
Affiliation:
School of Mathematics, University of East Anglia, Norwich, Norfolk NR4 7TJ, U K., e-mail:g.everest@uea.ac.uk
I. E. Shparlinski
Affiliation:
School of MPCE, Macquarie University, NSW 2109, Australia., e-mail:igor@au.edu.mq.mpce
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Abstract

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A study is made of sums of reciprocal norms of integral and prime ideal divisors of algebraic integer values of a generalised exponential polynomial. This includes the important special cases of linear recurrence sequences and general sums of S-units. In the case of an integral binary recurrence sequence, similar (but stronger) results were obtained by P. Erdős, P. Kiss and C. Pomerance.

Keywords

11B83
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 1 , 01 March 1996 , pp. 35 - 46
Copyright
Copyright © Canadian Mathematical Society 1995

References

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