Value distribution of cyclotomic polynomial coefficients

Details Value distribution of cyclotomic polynomial coefficients Value distribution of cyclotomic polynomial coefficients

2008-03-17

arxiv.org/abs/0803.2483v1

Mathematics

Number Theory

26 pages, 6 tables. Partly based on arXiv:math.NT/0307352, which is the M.Sc. thesis of H. Hommersom (2003), enriched with res

Scientific paper

Let a_n(k) be the kth coefficient of the nth cyclotomic polynomial Phi_n(x). As n ranges over the integers, a_n(k) assumes only finitely many values. For any such value v we determine the density of integers n such that a_n(k)=v. Also we study the average of the a_n(k). We derive analogous results for the kth Taylor coefficient of 1/Phi_n(x) (taken around x=0), the kth coefficient of the nth reciprocal cyclotomic polynomial. We formulate various open problems.

Affiliated with

Also associated with

No associations

Rating

Value distribution of cyclotomic polynomial coefficients does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Value distribution of cyclotomic polynomial coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Value distribution of cyclotomic polynomial coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-646471