Zhang-Zagier heights of perturbed polynomials
Journal de théorie des nombres de Bordeaux (2001)
- Volume: 13, Issue: 1, page 103-110
- ISSN: 1246-7405
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topDoche, Christophe. "Zhang-Zagier heights of perturbed polynomials." Journal de théorie des nombres de Bordeaux 13.1 (2001): 103-110. <http://eudml.org/doc/248716>.
@article{Doche2001,
abstract = {In a previous article we studied the spectrum of the Zhang-Zagier height [2]. The progress we made stood on an algorithm that produced polynomials with a small height. In this paper we describe a new algorithm that provides even smaller heights. It allows us to find a limit point less than $1.289735$ i.e. better than the previous one, namely $1.2916674$. After some definitions we detail the principle of the algorithm, the results it gives and the construction that leads to this new limit point.},
author = {Doche, Christophe},
journal = {Journal de théorie des nombres de Bordeaux},
language = {eng},
number = {1},
pages = {103-110},
publisher = {Université Bordeaux I},
title = {Zhang-Zagier heights of perturbed polynomials},
url = {http://eudml.org/doc/248716},
volume = {13},
year = {2001},
}
TY - JOUR
AU - Doche, Christophe
TI - Zhang-Zagier heights of perturbed polynomials
JO - Journal de théorie des nombres de Bordeaux
PY - 2001
PB - Université Bordeaux I
VL - 13
IS - 1
SP - 103
EP - 110
AB - In a previous article we studied the spectrum of the Zhang-Zagier height [2]. The progress we made stood on an algorithm that produced polynomials with a small height. In this paper we describe a new algorithm that provides even smaller heights. It allows us to find a limit point less than $1.289735$ i.e. better than the previous one, namely $1.2916674$. After some definitions we detail the principle of the algorithm, the results it gives and the construction that leads to this new limit point.
LA - eng
UR - http://eudml.org/doc/248716
ER -
References
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