Sequences of consecutive smooth polynomials over a finite field-Reference-Cited by-同舟云学术

Sequences of consecutive smooth polynomials over a finite field

Published:2006-11-13 Issue:5 Volume:135 Page:1271-1277
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Masuda Ariane,Panario Daniel

Abstract

Given ε > 0 \varepsilon > 0 , we show that there are infinitely many sequences of consecutive ε n \varepsilon n -smooth polynomials over a finite field. The number of polynomials in each sequence is approximately ln ⁡ ln ⁡ ln ⁡ n \ln \ln \ln n .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-05/S0002-9939-06-08611-4/S0002-9939-06-08611-4.pdf

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