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Profil
| Derzeitige Stellung | Professor W-3 und Äquivalente |
|---|---|
| Fachgebiet | Analysis, Differentialgleichungen,Algebra, Zahlentheorie, Algebraische Geometrie |
| Keywords | polynomial inequalities, random polynomials, algebraic numbers, extremal problems, potentials |
| Auszeichnungen | 2015: NSA grant H98230-15-1-0229: "Polynomials with Random and Integer Coefficients" 2012: NSA grant H98230-12-1-0227: "Distribution of Algebraic Numbers" 2011: AT&T Professor 2008: NSA grant H98230-09-01-038: "Algebraic Numbers and Equilibrium Measures" 2006: NSA grant H98230-06-1-0055: "Weighted Potentials in Analytic Number Theory" 2004: NSF grant DMS-0411729: "Constructive Functions Tech-04: An International Conference" 2002: NSA grant MDA904-03-1-0081: "Polynomials with Integer Coefficients" 2000: Ralph E. Powe Award (Oak Ridge Associated Universities) 1999: NSF grant DMS-9996410: "Polynomials in Analysis and Analytic Number Theory" 1997: NSF grant DMS-9707359: "Weighted approximation in the complex plane and iterative methods" |
Aktuelle Kontaktadresse
| Land | USA |
|---|---|
| Ort | Stillwater |
| Universität/Institution | Oklahoma State University |
| Institut/Abteilung | Department of Mathematics |
Gastgeber*innen während der Förderung
| Prof. Dr. Stephan Ruscheweyh | Institut für Mathematik, Julius-Maximilians-Universität Würzburg, Würzburg |
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| Beginn der ersten Förderung | 01.05.2006 |
Programm(e)
| 2006 | Humboldt-Forschungsstipendien-Programm |
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Publikationen (Auswahl)
| 2017 | I. E. Pritsker: Inequalities for integral norms of polynomials via multipliers. In: N. K. Govil et al., Progress in Approximation Theory and Applicable Complex Analysis. Springer, 2017. 83-104 |
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| 2009 | I. E. Pritsker: An areal analog of Mahler's measure. In: Illinois J. Math. 52 (2009), 347-363., 2009, 347-363 |
| 2008 | I. E. Pritsker: How to find a measure from its potential. In: Comput. Methods Funct. Theory , 2008, 597-614 |
| 2008 | I. E. Pritsker: Polynomial inequalities, Mahler's measure, and multipliers. In: James McKee and Chris Smyth, Number theory and polynomials. LMS, Cambridge UP, 2008. 255-276 |
| 2006 | I. E. Pritsker: Distribution of primes and a weighted energy problem. In: Electr. Trans. Numer. Anal. 25 (2006), 259-277, 2006, 259-277 |
| 2006 | I. E. Pritsker: Weighted energy problem on the unit circle. In: Constr. Approx., 2006, 103-120 |
| I. E. Pritsker: Means of algebraic numbers in the unit disk. In: C. R. Acad. Sci. Paris, Ser. I 347 (2009), 119-122., , | |
| I. E. Pritsker: Asymptotic distribution and symmetric means of algebraic numbers. In: Acta Arith. 168 (2015), 121-138., , | |
| I. E. Pritsker: Asymptotic zero distribution of random polynomials spanned by general bases. In: Contemp. Math. 661 (2016), 121-140. , | |
| I. E. Pritsker: Distribution of algebraic numbers. In: J. Reine Angew. Math. 657 (2011), 57-80., , | |
| I. E. Pritsker: Distribution of point charges with small discrete energy. In: Proc. Amer. Math. Soc. 139 (2011), 3461-3473., , | |
| P. Fili, C. Petsche and I. Pritsker: Energy integrals and small points for the Arakelov height. In: Arch. Math. 109 (2017), 441-454., , | |
| I. E. Pritsker: Equidistribution of points via energy. In: Ark. Mat. 49 (2011), 149-173., , | |
| I. Pritsker and K. Ramachandran: Equidistribution of zeros of random polynomials. In: J. Approx. Theory 215 (2017), 106-117., , | |
| I. E. Pritsker and A. Sola: Expected discrepancy for zeros of random polynomials. In: Proc. Amer. Math. Soc. 142 (2014), 4251-4263., , | |
| I. E. Pritsker and X. Xie: Expected number of real zeros for random Freud orthogonal polynomials. In: J. Math. Anal. Appl. 429 (2015), 1258-1270., , | |
| D. S. Lubinsky, I. E. Pritsker and X. Xie: Expected number of real zeros for random linear combinations of orthogonal polynomials. In: Proc. Amer. Math. Soc., 144 (2016), 1631-1642. , | |
| D. S. Lubinsky, I. E. Pritsker and X. Xie: Expected number of real zeros for random orthogonal polynomials. In: Math. Proc. Camb. Phil. Soc. 164 (2018), 47-66. , | |
| I. E. Pritsker: Expected zeros of random orthogonal polynomials on the real line. In: Jaen J. Approx. 9 (2017), 1-24., , | |
| P. Fili and I. Pritsker: Height bounds for algebraic numbers satisfying splitting conditions. In: J. Number Theory 175 (2017), 250-264., , | |
| I. E. Pritsker and S. Ruscheweyh: Inequalities for products of polynomials I. In: Math. Scand. 104 (2009), 147-160., , | |
| I. E. Pritsker and S. Ruscheweyh: Inequalities for products of polynomials II. In: Aequationes Math. 77 (2009), 119-132., , | |
| I. E. Pritsker: Inequalities for sums of Green potentials and Blaschke products. In: Bull. London Math. Soc. 43 (2011), 561-575. , | |
| A. Baernstein II, R. S. Laugesen, and I. E. Pritsker: Moment inequalities for equilibrium measures in the plane. In: Pure Appl. Math. Q. 7 (2011), 51-86. , | |
| I. E. Pritsker: Polynomials with integer coefficients and their zeros. In: J. Math. Sci. (N.Y.) 183 (2012), 810-822. , | |
| I. E. Pritsker, E. B. Saff and W. Wise: Reverse triangle inequalities for Riesz potentials and connections with polarization. In: J. Math. Anal. Appl. 410 (2014), 868-881. , | |
| I. E. Pritsker and E. B. Saff: Reverse triangle inequalities for potentials. In: J. Approx. Theory 159 (2009), 109-127. , | |
| P. B. Borwein and I. E. Pritsker: The multivariate integer Chebyshev problem. In: Constr. Approx. 30 (2009), 299-310. , | |
| I. E. Pritsker: Zero distribution of random polynomials. In: J. Anal. Math. 134 (2018), 719-745., , | |
| I. E. Pritsker and M. A. Yeager: Zeros of polynomials with random coefficients. In: J. Approx. Theory 189 (2015). 88-100. , |