Applications of the Large Sieve Inequality for _q[T]

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In this Subject: <a title="Mathematics and Statistics" href="/content/subcat?j_subject=195&j_availability=">Mathematics and Statistics
By this author: Shparlinski C-N.I.

Author: Shparlinski C-N.I.

Source: Finite Fields and Their Applications, Volume 4, Number 3, July 1998 , pp. 275-281(7)

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Abstract:

The purpose of this note is the following: (1) To get an upper bound for the number of monic irreducible polynomials in Fopf _q[T] obtained by changing coefficients of a polynomial in lower degree terms. (2) To generalize the Titchmarsh Linnik divisor problem to polynomial ring Fopf _q[T] and prove an asymptotic formula for this divisor function. Copyright 1998 Academic Press.

Language: English

Document Type: Short communication

Publication date: 1998-07-01