An alternative to Mahler Measure of polynomials

Објеката

Тип

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Верзија рада

објављена

Језик

енглески

Креатор

Dragan Stankov

Извор

The book of abstracts XV serbian mathematical congress, Belgrade, Serbia, june, 19–22, 2024

Уредник

Miljan Knežević, Aleksandra Delić

Издавач

Univerzitet u Beogradu, Matematički fakultet

Датум издавања

2024

Сажетак

We introduce the ratio of the number of roots of a polynomial Pd, greater than one in modulus, to its degree d as an alternative to Mahler measure. We investigate some properties of the limit ratio. We generalise this definition for a two variable polynomial P(x,y) using the Cauchy’s argument principle. We present an algorithm for calculating the limit ratio and a numerical method for its approximation. We estimated the limit ratio for some families of polynomials. Some examples of polynomials in two variables suggest a theorem for the limit ratio which is analogous to the Boyd-Lawton limit formula for Mahler measure.

почетак странице

57

крај странице

57

isbn

978-86-7589-191-8

Subject

mahler measure, argument principle, limit ratio

COBISS број

146969609

uri

https://simpozijum.matf.bg.ac.rs/KNJIGA_APSTRAKATA_2024.pdf

Шира категорија рада

М30

Ужа категорија рада

М34

Је дио

Partially supported by Serbian Ministry of Education and Science, Project 174032

Права

Отворени приступ

Лиценца

All rights reserved

Формат

.pdf

Скупови објеката

Драган Станков

Radovi istraživača

Медија

Stankov_Smak15_aps_template_eng.pdf

Dragan Stankov. "An alternative to Mahler Measure of polynomials" in The book of abstracts XV serbian mathematical congress, Belgrade, Serbia, june, 19–22, 2024, Univerzitet u Beogradu, Matematički fakultet (2024)

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