Divisor Sums of Generalised Exponential Polynomials
Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 35-46

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DOI

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.
DOI : 10.4153/CMB-1996-005-5
Mots-clés : 11B83
Everest, G. R.; Shparlinski, I. E. Divisor Sums of Generalised Exponential Polynomials. Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 35-46. doi: 10.4153/CMB-1996-005-5
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     author = {Everest, G. R. and Shparlinski, I. E.},
     title = {Divisor {Sums} of {Generalised} {Exponential} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {35--46},
     year = {1996},
     volume = {39},
     number = {1},
     doi = {10.4153/CMB-1996-005-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-005-5/}
}
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