Divisor Sums of Generalised Exponential Polynomials
Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 35-46
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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.
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
@article{10_4153_CMB_1996_005_5,
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/}
}
TY - JOUR AU - Everest, G. R. AU - Shparlinski, I. E. TI - Divisor Sums of Generalised Exponential Polynomials JO - Canadian mathematical bulletin PY - 1996 SP - 35 EP - 46 VL - 39 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-005-5/ DO - 10.4153/CMB-1996-005-5 ID - 10_4153_CMB_1996_005_5 ER -
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