Igor E. Pritsker

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All published works

Action	Title	Year	Authors
+ PDF Chat	Central Limit Theorem for the number of real roots of random orthogonal polynomials	2024	Yen Do Hoi H. Nguyen Hoi H. Nguyen Igor E. Pritsker
+	Schinzel-type bounds for the Mahler measure on lemniscates	2024	Ryan Looney Igor E. Pritsker
+ PDF Chat	Norms of Products and Factors of Polynomials	2023	Igor E. Pritsker
+	Mahler measure of polynomial iterates	2023	Igor E. Pritsker
+	Lower bounds for Mahler-type measures of polynomials	2022	Artūras Dubickas Igor E. Pritsker
+ PDF Chat	Variance of real zeros of random orthogonal polynomials for varying and exponential weights	2022	D. S. Lubinsky Igor E. Pritsker
+	Real roots of random orthogonal polynomials with exponential weights	2022	Yen Do D. S. Lubinsky Hoi H. Nguyen Oanh Kieu Nguyen Igor E. Pritsker
+ PDF Chat	Central Limit Theorem for the number of real roots of random orthogonal polynomials	2021	Yen Do Hoi H. Nguyen Oanh Nguyen Igor E. Pritsker
+ PDF Chat	House of algebraic integers symmetric about the unit circle	2021	Igor E. Pritsker
+	House of algebraic integers symmetric about the unit circle	2021	Igor E. Pritsker
+	Heights of polynomials over lemniscates	2021	Igor E. Pritsker
+	Variance of real zeros of random orthogonal polynomials	2021	D. S. Lubinsky Igor E. Pritsker
+ PDF Chat	Variance of real zeros of random orthogonal polynomials	2021	D. S. Lubinsky Igor E. Pritsker
+ PDF Chat	Heights of polynomials over lemniscates	2021	Igor E. Pritsker
+	Central Limit Theorem for the number of real roots of random orthogonal polynomials	2021	Yen Do Hoi H. Nguyen Hoi H. Nguyen Igor E. Pritsker
+	House of algebraic integers symmetric about the unit circle	2021	Igor E. Pritsker
+	Variance of real zeros of random orthogonal polynomials	2021	D. S. Lubinsky Igor E. Pritsker
+	Heights of polynomials over lemniscates	2021	Igor E. Pritsker
+ PDF Chat	Weighted Fekete Points on the Real Line and the Unit Circle	2020	Artūras Dubickas Igor E. Pritsker
+	Extremal problems for polynomials with real roots	2020	Artūras Dubickas Igor E. Pritsker
+ PDF Chat	Natural Boundary and Zero Distribution of Random Polynomials in Smooth Domains	2019	Igor E. Pritsker Koushik Ramachandran
+	Weighted Fekete points on the real line and the unit circle	2019	Artūras Dubickas Igor E. Pritsker
+	Extremal problems for polynomials with real roots.	2019	Artūras Dubickas Igor E. Pritsker
+	Random Bernstein–Markov factors	2019	Igor E. Pritsker Koushik Ramachandran
+	Weighted Fekete points on the real line and the unit circle	2019	Artūras Dubickas Igor E. Pritsker
+	Extremal problems for polynomials with real roots	2019	Artūras Dubickas Igor E. Pritsker
+	Random Bernstein-Markov factors	2018	Igor E. Pritsker Koushik Ramachandran
+ PDF Chat	Zero distribution of random polynomials	2018	Igor E. Pritsker
+	Zeros of lacunary random polynomials	2018	Igor E. Pritsker
+	Random Bernstein-Markov factors	2018	Igor E. Pritsker Koushik Ramachandran
+	Distribution of Zeros for Random Laurent Rational Functions	2017	Igor E. Pritsker
+	Natural boundary and zero distribution of random polynomials in smooth domains	2017	Igor E. Pritsker Koushik Ramachandran
+ PDF Chat	Energy integrals and small points for the Arakelov height	2017	Paul Fili Clayton Petsche Igor E. Pritsker
+	Height bounds for algebraic numbers satisfying splitting conditions	2017	Paul Fili Igor E. Pritsker
+	Inequalities for Integral Norms of Polynomials via Multipliers	2017	Igor E. Pritsker
+	Expected zeros of random orthogonal polynomials on the real line	2017	Igor E. Pritsker
+	Natural boundary and zero distribution of random polynomials in smooth domains	2017	Igor E. Pritsker Koushik Ramachandran
+ PDF Chat	Equidistribution of zeros of random polynomials	2016	Igor E. Pritsker Koushik Ramachandran
+ PDF Chat	Expected number of real zeros for random orthogonal polynomials	2016	D. S. Lubinsky Igor E. Pritsker Xiaoju Xie
+	Equidistribution of zeros of random polynomials	2016	Igor E. Pritsker Koushik Ramachandran
+	Equidistribution of zeros of random polynomials	2016	Igor E. Pritsker Koushik Ramachandran
+	Height bounds for algebraic numbers satisfying splitting conditions	2015	Paul Fili Igor E. Pritsker
+	Energy integrals and small points for the Arakelov height	2015	Paul Fili Clayton Petsche Igor E. Pritsker
+ PDF Chat	Expected number of real zeros for random linear combinations of orthogonal polynomials	2015	D. S. Lubinsky Igor E. Pritsker Xiaoju Xie
+	Expected number of real zeros for random Freud orthogonal polynomials	2015	Igor E. Pritsker Xiaoju Xie
+	Expected number of real zeros for random Freud orthogonal polynomials	2015	Igor E. Pritsker Xiaoju Xie
+	Expected number of real zeros for random linear combinations of orthogonal polynomials	2015	D. S. Lubinsky Igor E. Pritsker Xiaoju Xie
+ PDF Chat	Asymptotic distribution and symmetric means of algebraic numbers	2015	Igor E. Pritsker
+	Energy integrals and small points for the Arakelov height	2015	Paul Fili Clayton Petsche Igor E. Pritsker
+	Expected number of real zeros for random orthogonal polynomials	2015	D. S. Lubinsky Igor E. Pritsker Xiaoju Xie
+	Height bounds for algebraic numbers satisfying splitting conditions	2015	Paul Fili Igor E. Pritsker
+ PDF Chat	Zeros of polynomials with random coefficients	2014	Igor E. Pritsker Aaron Yeager
+	Zero Distribution of Random Polynomials	2014	Igor E. Pritsker
+ PDF Chat	Expected discrepancy for zeros of random algebraic polynomials	2014	Igor E. Pritsker Alan Sola
+	Zeros of Polynomials with Random Coefficients	2014	Igor E. Pritsker Aaron Yeager
+	Asymptotic distribution and symmetric means of algebraic numbers	2014	Igor E. Pritsker
+	Zero Distribution of Random Polynomials	2014	Igor E. Pritsker
+	Asymptotic distribution and symmetric means of algebraic numbers	2014	Igor E. Pritsker
+	Zeros of Polynomials with Random Coefficients	2014	Igor E. Pritsker Aaron Yeager
+	Reverse triangle inequalities for Riesz potentials and connections with polarization	2013	Igor E. Pritsker Edward B. Saff W. Howard Wise
+	Polynomials with integer coefficients and their zeros	2013	Igor E. Pritsker
+	Expected discrepancy for zeros of random algebraic polynomials	2013	Igor E. Pritsker Alan Sola
+	Distribution of algebraic numbers	2013	Igor E. Pritsker
+	Means of algebraic numbers in the unit disk	2013	Igor E. Pritsker
+	Equidistribution of points via energy	2013	Igor E. Pritsker
+	Distribution of point charges with small discrete energy	2013	Igor E. Pritsker
+	An areal analog of Mahler's measure	2013	Igor E. Pritsker
+	Convergence of Julia polynomials	2013	Igor E. Pritsker
+	Weighted energy problem on the unit circle	2013	Igor E. Pritsker
+	How to find a measure from its potential	2013	Igor E. Pritsker
+	The Gelfond-Schnirelman method in prime number theory	2013	Igor E. Pritsker
+	Approximation of conformal mapping via the Szeg\H{o} kernel method	2013	Igor E. Pritsker
+	Inequalities for products of polynomials I	2013	Igor E. Pritsker St. Ruscheweyh
+	Monic integer Chebyshev problem	2013	Peter Borwein Christopher Pinner Igor E. Pritsker
+	Reverse Triangle Inequalities for Potentials	2013	Igor E. Pritsker Edward B. Saff
+	The multivariate integer Chebyshev problem	2013	Peter Borwein Igor E. Pritsker
+	Reverse Triangle Inequalities for Riesz Potentials and Connections with Polarization	2013	Igor E. Pritsker Edward B. Saff W. Howard Wise
+	How to find a measure from its potential	2013	Igor E. Pritsker
+	Weighted energy problem on the unit circle	2013	Igor E. Pritsker
+	Convergence of Julia polynomials	2013	Igor E. Pritsker
+	Distribution of point charges with small discrete energy	2013	Igor E. Pritsker
+	Approximation of conformal mapping via the Szegő kernel method	2013	Igor E. Pritsker
+	Expected discrepancy for zeros of random algebraic polynomials	2013	Igor E. Pritsker Alan Sola
+	An areal analog of Mahler's measure	2013	Igor E. Pritsker
+	Polynomials with integer coefficients and their zeros	2013	Igor E. Pritsker
+	Distribution of algebraic numbers	2013	Igor E. Pritsker
+	The Gelfond-Schnirelman method in prime number theory	2013	Igor E. Pritsker
+	Equidistribution of points via energy	2013	Igor E. Pritsker
+	Means of algebraic numbers in the unit disk	2013	Igor E. Pritsker
+ PDF Chat	Polynomials with integer coefficients and their zeros	2012	Igor E. Pritsker
+ PDF Chat	Distribution of point charges with small discrete energy	2011	Igor E. Pritsker
+ PDF Chat	Inequalities for sums of Green potentials and Blaschke products	2011	Igor E. Pritsker
+ PDF Chat	Moment Inequalities for Equilibrium Measures in the Plane	2011	Albert Baernstein Richard S. Laugesen Igor E. Pritsker
+ PDF Chat	Distribution of algebraic numbers	2011	Igor E. Pritsker
+ PDF Chat	Equidistribution of points via energy	2010	Igor E. Pritsker
+ PDF Chat	Inequalities for products of polynomials I	2009	Igor E. Pritsker St. Ruscheweyh
+ PDF Chat	Inequalities for products of polynomials II	2009	Igor E. Pritsker Stephan Ruscheweyh
+ PDF Chat	Means of algebraic numbers in the unit disk	2009	Igor E. Pritsker
+ PDF Chat	Reverse triangle inequalities for potentials	2008	Igor E. Pritsker Edward B. Saff
+ PDF Chat	The Multivariate Integer Chebyshev Problem	2008	Peter Borwein Igor E. Pritsker
+ PDF Chat	Polynomial inequalities, Mahler's measure, and multipliers	2008	Igor E. Pritsker
+ PDF Chat	How to Find a Measure from its Potential	2008	Igor E. Pritsker
+ PDF Chat	An areal analog of Mahler’s measure	2008	Igor E. Pritsker
+	Moment inequalities for equilibrium measures in the plane	2007	Albert Baernstein Richard S. Laugesen Igor E. Pritsker
+ PDF Chat	Small polynomials with integer coefficients	2005	Igor E. Pritsker
+ PDF Chat	The Gelfond–Schnirelman Method in Prime Number Theory	2005	Igor E. Pritsker
+ PDF Chat	Weighted Energy Problem on the Unit Circle	2005	Igor E. Pritsker
+ PDF Chat	Convergence of Julia polynomials	2004	Igor E. Pritsker
+ PDF Chat	Approximation of Conformal Mapping via the Szegő Kernel Method	2004	Igor E. Pritsker
+ PDF Chat	Potential Theory of the Farthest-Point Distance Function	2003	Richard S. Laugesen Igor E. Pritsker
+ PDF Chat	Monic integer Chebyshev problem	2003	Peter Borwein Christopher Pinner Igor E. Pritsker
+	Derivatives of Faber Polynomials and Markov Inequalities	2002	Igor E. Pritsker
+ PDF Chat	Products of polynomials in uniform norms	2001	Igor E. Pritsker
+	Simultaneous approximation and interpolation of functions on continua in the complex plane☆☆This research was supported in part by the National Science Foundation grant DMS-9707359.	2001	В. В. Андриевскии Igor E. Pritsker Richard S. Varga
+	Small polynomials with integer coefficients	2001	Igor E. Pritsker
+ PDF Chat	On zeros of polynomials orthogonal over a convex domain	2001	В. В. Андриевскии Igor E. Pritsker R. S. Varga
+	Small polynomials with integer coefficients	2001	Igor E. Pritsker
+	Norms of products and factors polynomials	2001	Igor E. Pritsker
+ PDF Chat	Convergence of Bieberbach polynomials in domains with interior cusps	2000	В. В. Андриевскии Igor E. Pritsker
+	An inequality for the norm of a polynomial factor	2000	Igor E. Pritsker
+	An inequality for the norm of a polynomial factor	2000	Igor E. Pritsker
+	Simultaneous approximation and interpolation of functions on continua in the complex plane	2000	В. В. Андриевскии Igor E. Pritsker R. S. Varga
+	On zeros of polynomials orthogonal over a convex domain	2000	В. В. Андриевскии Igor E. Pritsker R. S. Varga
+	Convergence of Bieberbach polynomials in domains with interior cusps	2000	В. В. Андриевскии Igor E. Pritsker
+	An inequality for the norm of a polynomial factor	2000	Igor E. Pritsker
+	Rational approximation with varying weights in the complex plane	1999	Igor E. Pritsker Richard S. Varga
+ PDF Chat	A Sharp Version of Mahler's Inequality for Products of Polynomials	1999	András Kroó Igor E. Pritsker
+	On the local asymptotics of Faber polynomials	1999	Igor E. Pritsker
+	Weighted rational approximation in the complex plane	1999	Igor E. Pritsker R. S. Varga
+	Chebyshev Polynomials with Integer Coefficients	1999	Igor E. Pritsker
+ PDF Chat	Weighted Polynomial Approximation in the Complex Plane	1998	R. S. Varga Igor E. Pritsker
+	Zero distribution, the Szego curve, and weighted polynomial approximation in the complex plane	1998	Igor E. Pritsker R. S. Varga
+ PDF Chat	Polynomial approximation with varying weights on compact sets of the complex plane	1998	Igor E. Pritsker
+	Comparing Norms of Polynomials in One and Several Variables	1997	Igor E. Pritsker
+	Approximation of conformal mappings of annular regions	1997	N. Papamichael Igor E. Pritsker Edward B. Saff Nikos Stylianopoulos
+	Weighted polynomial approximation in the complex plane	1997	Igor E. Pritsker Richard S. Varga
+	Asymptotic Zero Distribution of Laurent-Type Rational Functions	1997	N. Papamichael Igor E. Pritsker Edward B. Saff
+ PDF Chat	The Szego curve, zero distribution and weighted approximation	1997	Igor E. Pritsker Richard S. Varga
+ PDF Chat	ON A COUNTEREXAMPLE IN THE THEORY O F POLYNOMIALS HAVING CONCENTRATION AT LOW DEGREES	1996	Richard S. Varga Igor E. Pritsker
+	On the curved wedge condition and the continuity moduli of conformal mappings	1993	В. И. Белый Igor E. Pritsker
+	On the convergence of Bieberbach polynomials in domains with interior zero angles	1993	Igor E. Pritsker
+	Continuity of harmonically conjugate functions in Jordan domains	1992	Igor E. Pritsker

Common Coauthors

Coauthor	Papers Together
D. S. Lubinsky	9
Artūras Dubickas	7
Paul Fili	6
R. S. Varga	6
Koushik Ramachandran	6
Edward B. Saff	6
Xiaoju Xie	6
В. В. Андриевскии	6
Richard S. Varga	5
Hoi H. Nguyen	4
Yen Do	4
Peter Borwein	4
Aaron Yeager	3
Alan Sola	3
Richard S. Laugesen	3
Clayton Petsche	3
Koushik Ramachandran	3
Christopher Pinner	2
W. Howard Wise	2
St. Ruscheweyh	2
Albert Baernstein	2
N. Papamichael	2
Oanh Kieu Nguyen	1
Nikos Stylianopoulos	1
Oanh Nguyen	1
András Kroó	1
Stephan Ruscheweyh	1
В. И. Белый	1
Ryan Looney	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Potential Theory in the Complex Plane	1995	Thomas Ransford	44
+	Logarithmic Potentials with External Fields	1997	Edward B. Saff Вилмос Тотик	36
+	Potential theory in modern function theory	1959	正次辻	26
+	Lectures on Complex Approximation	1987	Dieter Gaier Renate McLaughlin	19
+ PDF Chat	Computational excursions in analysis and number theory	2003	Peter Borwein	18
+	On the Distribution of Roots of Polynomials	1950	Péter L. Erdős P. Túrán	17
+	Sharp Inequalities for the Product of Polynomials	1994	David W. Boyd	15
+	Geometric Theory of Functions of a Complex Variable	1969	G. Goluzin	15
+	The Trace of Totally Positive and Real Algebraic Integers	1945	Carl Ludwig Siegel	15
+	Boundary Behaviour of Conformal Maps	1992	Christian Pommerenke	14
+	Discrepancy of Signed Measures and Polynomial Approximation	2002	В. В. Андриевскии Hans-Peter Blatt	14
+	General Orthogonal Polynomials	1992	Herbert Stahl Вилмос Тотик	14
+ PDF Chat	Products of polynomials in uniform norms	2001	Igor E. Pritsker	13
+	The Chebyshev polynomials	1974	T. J. Rivlin	13
+	Two sharp inequalities for the norm of a factor of a polynomial	1992	David W. Boyd	12
+ PDF Chat	Exact Inequalities for the Norms of Factors of Polynomials	1994	Peter Borwein	12
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	12
+	Interpolation and Approximation by Rational Functions in the Complex Domain	1935	J. L. Walsh	11
+	Topics in Random Polynomials	1998	K. Farahmand	11
+	Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants	1988	H.‐P. Blatt E. B. Saff Mehrdad Simkani	11
+	Polynomials and Polynomial Inequalities	1995	Peter Borwein Tamás Erdélyi	11
+ PDF Chat	Means of algebraic numbers in the unit disk	2009	Igor E. Pritsker	10
+ PDF Chat	The integer transfinite diameter of intervals and totally real algebraic integers	1997	Valérie Flammang Georges Rhin Chris Smyth	10
+ PDF Chat	The integer Chebyshev problem	1996	Peter Borwein Tamás Erdélyi	10
+ PDF Chat	A Sharp Version of Mahler's Inequality for Products of Polynomials	1999	András Kroó Igor E. Pritsker	10
+	Sequences of analytic functions and their zeros	1954	T. Ganelius	10
+ PDF Chat	The expected value of the number of real zeros of a random sum of Legendre polynomials	1997	J. Ernest Wilkins	10
+	Transcendental and algebraic numbers	1960	А. О. Гелъфонд	10
+ PDF Chat	Random polynomials and (pluri)potential theory	2007	Thomas Bloom	10
+	Comparing Norms of Polynomials in One and Several Variables	1997	Igor E. Pritsker	9
+ PDF Chat	Real zeros of a random sum of orthogonal polynomials	1971	Minaketan Das	9
+	LEVEL CROSSINGS OF A RANDOM ORTHOGONAL POLYNOMIAL	1996	K. Farahmand	9
+ PDF Chat	On the product of the conjugates outside the unit circle of an algebraic number	1973	Andrzej Schinzel	9
+	On the zeros of sequences of polynomials	1990	René Grothmann	9
+ PDF Chat	On random orthogonal polynomials	2000	K. Farahmand	9
+ PDF Chat	Potential Theory of the Farthest-Point Distance Function	2003	Richard S. Laugesen Igor E. Pritsker	9
+	Potential theory of the farthest point distance function	2007	Stephen J. Gardiner Ivan Netuka	9
+ PDF Chat	Moment Inequalities for Equilibrium Measures in the Plane	2011	Albert Baernstein Richard S. Laugesen Igor E. Pritsker	9
+ PDF Chat	The Mahler measure of algebraic numbers: a survey	2008	Chris Smyth	9
+	Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Conditions	1983	G. V. Chudnovsky	9
+ PDF Chat	An asymptotic expansion for the expected number of real zeros of a random polynomial	1988	J. Ernest Wilkins	9
+ PDF Chat	On the average number of real roots of a random algebraic equation	1943	Mark Kac	8
+ PDF Chat	The Gelfond–Schnirelman Method in Prime Number Theory	2005	Igor E. Pritsker	8
+	Limit distribution of small points on algebraic tori	1997	Yuri Bilu	8
+ PDF Chat	Equidistribution of points via energy	2010	Igor E. Pritsker	8
+ PDF Chat	Totally positive algebraic integers of small trace	1984	Chistopher J. Smyth	8
+	Extremal polynomials associated with a system of curves in the complex plane	1969	Harold Widom	8
+	Probability: A Graduate Course	2005	Allan Gut	8
+	On the Roots of Certain Algebraic Equations	1932	A. Bloćh Georg Pólya	8
+ PDF Chat	Expected number of real zeros for random linear combinations of orthogonal polynomials	2015	D. S. Lubinsky Igor E. Pritsker Xiaoju Xie	8