An alternative to Mahler Measure of polynomials
Објеката
- Тип
- Саопштење са скупа штампано у изводу
- 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
- 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
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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