Upper bounds for the Lqnorm of Fekete polynomials on subarcs

UPPER BOUNDS FOR THE Lq NORM OF FEKETE POLYNOMIALS ON SUBARCS

where the coefficients are Legendre symbols, is called the p-th Fekete polynomial. In this paper the size of the Fekete polynomials on subarcs is studied. We prove essentially sharp bounds for the average value of |fp(z)| , 0 < q < ∞, on subarcs of the unit circle even in the cases when the subarc is rather small. Our upper bounds are matching with the lower bounds proved in a preceding paper f...

Lower Bounds for the Mahler Measure of Polynomials on Subarcs

We give lower bounds for the Mahler measure of polynomials with constrained coefficients, including Littlewood polynomials, on subarcs of the unit circle of the complex plane. This is then applied to give an essentially sharp lower bound for the Mahler measure of the Fekete polynomials on subarcs.

Sieve-type Lower Bounds for the Mahler Measure of Polynomials on Subarcs

We prove sieve-type lower bounds for the Mahler measure of polynomials on subarcs of the unit circle of the complex plane. This is then applied to give an essentially sharp lower bound for the Mahler measure of the Fekete polynomials on subarcs.

a study on the effectiveness of textual modification on the improvement of iranian upper-intermediate efl learners’ reading comprehension

این پژوهش به منظور بررسی تأثیر اصلاح متنی بر بهبود توانایی درک مطلب زبان آموزان ایرانی بالاتر از سطح میانی انجام پذیرفت .بدین منظور 115 دانشجوی مرد و زن رشته مترجمی زبان انگلیسی در این پزوهش شرکت نمودند.

Zeros of Fekete Polynomials