Multiplicative character sums of a class of nonlinear recurrence vector sequences

Alina Ostafe; Igor E. Shparlinski; Arne Winterhof

doi:10.1142/S1793042111004484

Multiplicative character sums of a class of nonlinear recurrence vector sequences

Alina Ostafe^*, Igor E. Shparlinski, Arne Winterhof

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We estimate multiplicative character sums along the orbits of a class of nonlinear recurrence vector sequences. In the one-dimensional case, only much weaker estimates are known and our results have no one-dimensional analogs.

Original language	English
Pages (from-to)	1557-1571
Number of pages	15
Journal	International Journal of Number Theory
Volume	7
Issue number	6
DOIs	https://doi.org/10.1142/S1793042111004484
Publication status	Published - Sept 2011

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title = "Multiplicative character sums of a class of nonlinear recurrence vector sequences",

abstract = "We estimate multiplicative character sums along the orbits of a class of nonlinear recurrence vector sequences. In the one-dimensional case, only much weaker estimates are known and our results have no one-dimensional analogs.",

author = "Alina Ostafe and Shparlinski, {Igor E.} and Arne Winterhof",

year = "2011",

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doi = "10.1142/S1793042111004484",

language = "English",

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T1 - Multiplicative character sums of a class of nonlinear recurrence vector sequences

AU - Ostafe, Alina

AU - Shparlinski, Igor E.

AU - Winterhof, Arne

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Y1 - 2011/9

N2 - We estimate multiplicative character sums along the orbits of a class of nonlinear recurrence vector sequences. In the one-dimensional case, only much weaker estimates are known and our results have no one-dimensional analogs.

AB - We estimate multiplicative character sums along the orbits of a class of nonlinear recurrence vector sequences. In the one-dimensional case, only much weaker estimates are known and our results have no one-dimensional analogs.

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DO - 10.1142/S1793042111004484

M3 - Article

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VL - 7

SP - 1557

EP - 1571

JO - International Journal of Number Theory

JF - International Journal of Number Theory

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ER -

Multiplicative character sums of a class of nonlinear recurrence vector sequences

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