Igor E. Pritsker  Home/Search
Context
Related
| okstate.edu/~igor/98c.ps Cached: PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
PS.gz PS Image Update HelpFrom: okstate.edu/~igor/papers (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: . We study the asymptotic structure of polynomials with integer coefficients and smallest uniform norms on an interval of the real line. Introducing methods of the weighted potential theory into this problem, we improve the bounds for the multiplicities of some factors of the integer Chebyshev polynomials. 1. Introduction Let P n (C) and P n (Z) be the sets of algebraic polynomials of degree at most n, respectively with complex and with integer coefficients. Define the uniform norm on the... (Update)
Active bibliography (related documents): More All
2.3: Small Polynomials With Integer Coefficients - Pritsker (Correct)
0.6: The Integer Chebyshev Problem - Borwein, Erdélyi (1995) (Correct)
0.5: Asymptotic Properties Of Heine-Stieltjes And Van Vleck.. - Martínez, Saff (Correct)
System load high. Please wait...
Timeout. Please try your query later.
Similar documents based on text: More All
0.2: The Chebyshev Polynomials Of A Matrix - Toh, Trefethen (1996) (Correct)
0.2: Norms Of Products And Factors Polynomials - Pritsker (2000) (Correct)
0.2: On Polynomials Of Least Deviation From Zero In Several Variables - Xu (Correct)
BibTeX entry: (Update)
@misc{ pritsker-chebyshev,
author = "Igor E. Pritsker",
title = "Chebyshev Polynomials With Integer Coefficients",
url = "citeseer.ist.psu.edu/402403.html" }
Citations (may not include all citations):64 Logarithmic Potentials with External Fields (context) - Saff, Totik - 1997
57 Polynomials and Polynomial Inequalities (context) - Borwein, Erd'elyi - 1995
53 Chebyshev Polynomials (context) - Rivlin - 1990
32 Potential Theory in Modern Function Theory (context) - Tsuji - 1975
29 Ten Lectures on the Interface Between Analytic Number Theory.. (context) - Montgomery - 1994
13 Uber die Verteilung der Wurzeln bei gewissen algebraischen G.. (context) - Fekete - 1923
7 The integer Chebyshev problem - Borwein, Erd'elyi - 1996
6 Topics in Polynomials: Extremal Problems (context) - Milovanovi'c, Mitrinovi'c et al. - 1994
6 Number theoretic applications of polynomials with rational c.. (context) - Chudnovsky - 1983
5 Ein Beitrag zur Theorie des Legendreschen Polynoms (context) - Hilbert
3 the asymptotic structure of the polynomials of minimal dioph.. (context) - Bernardo - 1988
3 the zeros of Jacobi polynomials P (context) - Moak, Saff et al. - 1979
3 On integer Chebyshev polynomials - Habsieger, Salvy - 1997
2 The integer transfinite diameter of intervals and totally re.. (context) - Flammang, Rhin et al. - 1997
2 Sur la longueur des entiers alg'ebriques totalement positifs (context) - Flammang - 1995
2 Incomplete polynomials: An electrostatics approach (context) - Saff, Ullman et al. - 1980
2 etre transfini entier d (context) - Flammang, le diam - 1995
1 Bounds for incomplete polynomials vanishing at both endpoint.. (context) - Lachance, Saff et al. - 1979
Documents on the same site (http://www.math.okstate.edu/~igor/papers.html): More
Ray Sequences Of Laurent-Type Rational Functions - Pritsker (1996) (Correct)
Rational Approximation With Varying Weights in the Complex Plane - Pritsker, Varga (1998) (Correct)
Polynomial Approximation with Varying Weights on Compact Sets of .. - Pritsker (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC