Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595236 | Journal of Number Theory | 2007 | 4 Pages |
Abstract
In a recent paper [G. Yu, An upper bound for B2[g]B2[g] sets, J. Number Theory 122 (1) (2007) 211–220] Gang Yu stated the following conjecture: Let {pi}i=1∞ be an arbitrary sequence of polynomials with increasing degrees and all coefficients in {0,1}{0,1}. If we denote by (#pi)(#pi) the number of non-zero coefficients of pipi, and let M(pi2) be the maximal coefficient of pi2, thenequation(∗)Q:=lim infi→∞deg(pi)M(pi2)(#pi)2⩾1, as long as (#pi)=o(degpi)(#pi)=o(degpi), as i→∞i→∞. We give an explicit example that shows why this last condition is necessary, and we investigate some open questions it suggests.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
K.S. Berenhaut, F. Saidak,