In:
Proceedings of the Edinburgh Mathematical Society, Cambridge University Press (CUP), Vol. 59, No. 1 ( 2016-02), p. 235-245
Abstract:
Given a finite field of q elements, we consider a trajectory of the map associated with a polynomial ]. Using bounds of character sums, un der some mild condition on f , we show that for an appropriate constant C 〉 0 no N ⩾ Cq ½ distinct consecutive elements of such a trajectory are contained in a small subgroup of , improving the trivial lower bound . Using a different technique, we also obtain a similar result for very small values of N . These results are multiplicative analogues of several recently obtained bounds on the length of intervals containing N distinct consecutive elements of such a trajectory.
Type of Medium:
Online Resource
ISSN:
0013-0915
,
1464-3839
DOI:
10.1017/S0013091515000097
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2016
detail.hit.zdb_id:
1465484-2
SSG:
17,1
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