New estimates for the length of the Erdos-Herzog-Piranian lemniscate

Alexander Fryntov, Fëdor Nazarov

Type: Preprint

Publication Date: 2008-01-01

Citations: 7

DOI: https://doi.org/10.48550/arxiv.0808.0717

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	New estimates for the length of the Erdős-Herzog-Piranian lemniscate	2009	Alexander Fryntov Fëdor Nazarov
+ PDF Chat	Number of components of polynomial lemniscates: A problem of Erdös, Herzog, and Piranian	2024	Subhajit Ghosh Koushik Ramachandran
+	On the length of lemniscates	2008	Alexandre Eremenko aand Walter Hayman
+	On the length of lemniscates	2008	Alexandre Erëmenko W. K. Hayman
+	Number of components of polynomial lemniscates: a problem of Erdös, Herzog, and Piranian	2023	Subhajit Ghosh Koushik Ramachandran
+ PDF Chat	On the length of lemniscates.	1999	Alexandre Erëmenko W. K. Hayman
+	The arclength of a random lemniscate in the plane	2016	Erik Lundberg Koushik Ramachandran
+ PDF Chat	The arc length and topology of a random lemniscate	2017	Erik Lundberg Koushik Ramachandran
+ PDF Chat	The Erdős-Ko-Rado Theorem for Integer Sequences	1999	Péter Frankl Norihide Tokushige
+	Gamma-Lines of Polynomials and a Problem by Erdös-Herzog-Piranian	2006	G. Barsegian
+	A Generalization of the Erdős-Turán Law for the Order of	2012	Alexander Gnedin Alexander Iksanov Alexander Marynych
+	On the number of components of random polynomial lemniscates	2024	Subhajit Ghosh
+ PDF Chat	Bounds on the higher degree Erdős–Ginzburg–Ziv constants over $${\mathbb {F}}_q^n$$	2023	Simone Costa Stefano Della Fiore
+	The Erdős–Turán Problem in Infinite Groups	2010	Sergeĭ Konyagin Vsevolod F. Lev
+	More on the Erdös-Ko-Rado theorem for integer sequences	1983	Hans-Dietrich O. F. Gronau
+	Schinzel-type bounds for the Mahler measure on lemniscates	2024	Ryan Looney Igor E. Pritsker
+ PDF Chat	On a combinatorial problem of Erdős, Kleitman and Lemke	2012	Benjamin Girard
+	Length and denominators of Egyptian fractions	1986	Hisashi Yokota
+ PDF Chat	A hybrid inequality of Erdös–Turán–Koksma for digital sequences	2013	Peter Hellekalek
+	Complexity of the Bollobás-Riordan Polynomial	2008	Markus Bläser Holger Dell Johann A. Makowsky

Works That Cite This (7)

Action	Title	Year	Authors
+ PDF Chat	Об оценке длин лемнискат	2012	O. N. Kosukhin O. N. Kosukhin
+	On estimates of lengths of lemniscates	2012	O. N. Kosukhin
+ PDF Chat	Some recent results on the geometry of complex polynomials: the Gauss–Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence	2021	Trevor Richards
+ PDF Chat	The arc length and topology of a random lemniscate	2017	Erik Lundberg Koushik Ramachandran
+	The arclength of a random lemniscate in the plane	2016	Erik Lundberg Koushik Ramachandran
+	Some Recent Results on the Geometry of Complex Polynomials: The Gauss--Lucas Theorem, Polynomial Lemniscates, Shape Analysis, and Conformal Equivalence	2019	Trevor Richards
+ PDF Chat	On the geometry of random lemniscates	2016	Antonio Lerario Erik Lundberg

Works Cited by This (5)

Action	Title	Year	Authors
+	Potential Theory in the Complex Plane	1995	Thomas Ransford
+	Polynomials and Polynomial Inequalities	1995	Peter Borwein Tamás Erdélyi
+	Lengths of lemniscates. Variations of rational functions	2007	V. I. Danchenko
+ PDF Chat	Length functions of lemniscates	2003	O. S. Kuznetsova Vladimir G. Tkachev
+ PDF Chat	Metric properties of polynomials	1958	P. Erdős Fritz Herzog George Piranian