Result: On the relations between the zeros of a polynomial and its Mahler measure
Title:
On the relations between the zeros of a polynomial and its Mahler measure
Authors:
Contributors:
Sac-Epee, Jean-Marc
Source:
Journal of Number Theory. 224:165-190
Publication Status:
Preprint
Publisher Information:
Elsevier BV, 2021.
Publication Year:
2021
Subject Terms:
Mathematics - Number Theory, Polynomials in real and complex fields: location of zeros (algebraic theorems), 01 natural sciences, estimation of the zeros, Integer polynomials, PV-numbers and generalizations, other special algebraic numbers, Mahler measure, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 11C08 11R06, 11C08, 12D10, Algebraic numbers, rings of algebraic integers, Polynomials in number theory, Polynomials (irreducibility, etc.), length of a polynomial, number of real zeros, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
0022-314X
DOI:
10.1016/j.jnt.2021.01.016
DOI:
10.48550/arxiv.2103.07126
Access URL:
http://arxiv.org/pdf/2103.07126
http://arxiv.org/abs/2103.07126
https://hal.science/hal-03152895v1
https://doi.org/10.1016/j.jnt.2021.01.016
https://zbmath.org/7334485
http://ui.adsabs.harvard.edu/abs/2021arXiv210307126O/abstract
https://hal.archives-ouvertes.fr/hal-03152895
https://arxiv.org/abs/2103.07126
https://www.sciencedirect.com/science/article/pii/S0022314X21000445
https://arxiv.org/pdf/2103.07126.pdf
http://arxiv.org/abs/2103.07126
https://hal.science/hal-03152895v1
https://doi.org/10.1016/j.jnt.2021.01.016
https://zbmath.org/7334485
http://ui.adsabs.harvard.edu/abs/2021arXiv210307126O/abstract
https://hal.archives-ouvertes.fr/hal-03152895
https://arxiv.org/abs/2103.07126
https://www.sciencedirect.com/science/article/pii/S0022314X21000445
https://arxiv.org/pdf/2103.07126.pdf
Rights:
Elsevier Non-Commercial
CC BY
CC BY
Accession Number:
edsair.doi.dedup.....2ee63a07c1f910b634c8b606541d6dcf
Database:
OpenAIRE
Further Information
In this work, we are dealing with some properties relating the zeros of a polynomial and its Mahler measure. We provide estimates on the number of real zeros of a polynomial, lower bounds on the distance between the zeros of a polynomial and non-zeros located on the unit circle and a lower bound on the number of zeros of a polynomial in the disk $\{\vert x-1\vert