AnN-Dimensional Analogue of Szegö's Limit Theorem
✍ Scribed by Bobette Hayden Thorsen
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 293 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper is concerned with the study of Mahler's measure of an univariate polynomial. A theorem of Szego says that the measure of P is equal to the infimum of &PQ& 2 where Q is a monic polynomial. Here we study how the infimum of &PQ& 2 , where Q is monic and has degree k, tends to the measure of
The Toeplitz (or block Toeplitz) matrices S(r)=[s j&k ] r k, j=1 , generated by the Taylor coefficients at zero of analytic functions .(\*)= s0 2 + p=1 s & p \* p and (+)= s0 2 + p=1 s p + p , are considered. A method is proposed for removing the poles of . and or, in other words, for replacing S( )
One of the best-known results of extremal combinatorics is Sperner's theorem, which asserts that the maximum size of an antichain of subsets of an n-element set equals the binomial coefficient n n/2 , that is, the maximum of the binomial coefficients. In the last twenty years, Sperner's theorem has