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Bruce Reznick
Bruce Reznick
Professor of Mathematics, University of Illinois
Verified email at illinois.edu
Title
Cited by
Cited by
Year
Some concrete aspects of Hilbert's 17th problem
B Reznick
Contemporary mathematics 253 (251-272), 2000
6272000
Sums of squares of real polynomials
MD Choi, TY Lam, B Reznick
Proceedings of Symposia in Pure mathematics 58, 103-126, 1995
5081995
Sum of even powers of real linear forms
BA Reznick
American Mathematical Soc., 1992
3081992
A new bound for Pólya's theorem with applications to polynomials positive on polyhedra
V Powers, B Reznick
Journal of pure and applied algebra 164 (1-2), 221-229, 2001
2532001
Extremal PSD forms with few terms
B Reznick
2421978
Uniform denominators in Hilbert's seventeenth problem
B Reznick
Mathematische Zeitschrift 220 (1), 75-97, 1995
2181995
Polynomials that are positive on an interval
V Powers, B Reznick
Transactions of the American Mathematical Society 352 (10), 4677-4692, 2000
1652000
The Pythagoras number of some affine algebras and local algebras.
MD Choi, ZD Dai, TY Lam
De Gruyter 1982 (336), 45-82, 1982
1211982
Real zeros of positive semidefinite forms. I
MD Choi, TY Lam, B Reznick
Mathematische Zeitschrift 171 (1), 1-26, 1980
1161980
Forms derived from the arithmetic-geometric inequality
B Reznick
Mathematische Annalen 283 (3), 431-464, 1989
1121989
Even symmetric sextics
MD Choi, TY Lam, B Reznick
Mathematische Zeitschrift 195 (4), 559-580, 1987
1121987
Some binary partition functions
B Reznick
Analytic number theory: Proceedings of a conference in honor of Paul T …, 1990
1071990
Projective resolutions over Artin algebras with zero relations
EL Green, D Happel, D Zacharia
Illinois Journal of Mathematics 29 (1), 180-190, 1985
981985
Eigensharp graphs: Decomposition into complete bipartite subgraphs
T Kratzke, B Reznick, D West
Transactions of the American mathematical society 308 (2), 637-653, 1988
721988
On Hilbert's construction of positive polynomials
B Reznick
arXiv preprint arXiv:0707.2156, 2007
672007
On the length of binary forms
B Reznick
Quadratic and higher degree forms, 207-232, 2013
582013
Lattice point simplices
B Reznick
Discrete Mathematics 60, 219-242, 1986
511986
Cantor set arithmetic
JS Athreya, B Reznick, JT Tyson
The American Mathematical Monthly 126 (1), 4-17, 2019
482019
Regularity properties of the Stern enumeration of the rationals
B Reznick
arXiv preprint math/0610601, 2006
472006
Homogeneous polynomial solutions to constant coefficient PDE's
B Reznick
advances in mathematics 117 (2), 179-192, 1996
461996
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Articles 1–20