Bruce A Reznick

If you made any changes in Pure these will be visible here soon.

Research Output

Filter
Article
2019

Cantor Set Arithmetic

Athreya, J., Reznick, B. & Tyson, J. T., Jan 2 2019, In : American Mathematical Monthly. 126, 1, p. 4-17 14 p.

Research output: Contribution to journalArticle

Linearly dependent powers of binary quadratic forms

Reznick, B., Jan 1 2019, In : Pacific Journal of Mathematics. 303, 2, p. 729-755 27 p.

Research output: Contribution to journalArticle

On generic and maximal k-ranks of binary forms

Lundqvist, S., Oneto, A., Reznick, B. & Shapiro, B., May 2019, In : Journal of Pure and Applied Algebra. 223, 5, p. 2062-2079 18 p.

Research output: Contribution to journalArticle

2017

Binary forms with three different relative ranks

Reznick, B. & Tokcan, N., Dec 2017, In : Proceedings of the American Mathematical Society. 145, 12, p. 5169-5177 9 p.

Research output: Contribution to journalArticle

The analogue of Hilbert's 1888 theorem for even symmetric forms

Goel, C., Kuhlmann, S. & Reznick, B., Jun 1 2017, In : Journal of Pure and Applied Algebra. 221, 6, p. 1438-1448 11 p.

Research output: Contribution to journalArticle

2016

On the Choi-Lam analogue of Hilbert's 1888 theorem for symmetric forms

Goel, C., Kuhlmann, S. & Reznick, B., May 1 2016, In : Linear Algebra and Its Applications. 496, p. 114-120 7 p.

Research output: Contribution to journalArticle

2013

Congruence Properties of Binary Partition Functions

Anders, K., Dennison, M., Lansing, J. W. & Reznick, B., Feb 11 2013, In : Annals of Combinatorics. 17, 1, p. 15-26 12 p.

Research output: Contribution to journalArticle

Some new canonical forms for polynomials

Reznick, B., 2013, In : Pacific Journal of Mathematics. 266, 1, p. 185-220 36 p.

Research output: Contribution to journalArticle

2011

On the sums of two cubes

Reznick, B. & Rouse, J., Nov 1 2011, In : International Journal of Number Theory. 7, 7, p. 1863-1882 20 p.

Research output: Contribution to journalArticle

Pólya's Theorem with zeros

Castle, M., Powers, V. & Reznick, B., Sep 1 2011, In : Journal of Symbolic Computation. 46, 9, p. 1039-1048 10 p.

Research output: Contribution to journalArticle

2010

Laws of inertia in higher degree binary forms

Reznick, B., Mar 1 2010, In : Proceedings of the American Mathematical Society. 138, 3, p. 815-826 12 p.

Research output: Contribution to journalArticle

2009

A quantitative Pólya's Theorem with zeros

Castle, M., Powers, V. & Reznick, B., Sep 1 2009, In : Journal of Symbolic Computation. 44, 9, p. 1285-1290 6 p.

Research output: Contribution to journalArticle

2008

Regularity properties of the stern enumeration of the rationals

Reznick, B. A., Sep 16 2008, In : Journal of Integer Sequences. 11, 4, 08.4.1.

Research output: Contribution to journalArticle

2006

Almost alternating sums

O'Bryant, K., Reznick, B. & Serbinowska, M., Oct 2006, In : American Mathematical Monthly. 113, 8, p. 673-688 16 p.

Research output: Contribution to journalArticle

2005

On the absence of uniform denominators in Hilbert's 17th problem

Reznick, B., Oct 2005, In : Proceedings of the American Mathematical Society. 133, 10, p. 2829-2834 6 p.

Research output: Contribution to journalArticle

Polynomials positive on unbounded rectangles

Powers, V. & Reznick, B., Jan 1 2005, In : Lecture Notes in Control and Information Sciences. 312, p. 151-163 13 p.

Research output: Contribution to journalArticle

2004

A new approach to Hilbert's theorem on ternary quartics

Powers, V., Reznick, B., Scheiderer, C. & Sottile, F., Nov 1 2004, In : Comptes Rendus Mathematique. 339, 9, p. 617-620 4 p.

Research output: Contribution to journalArticle

Positive Rational Solutions to xy = ymx: A Number-Theoretic Excursion

Bennett, M. A. & Reznick, B., Jan 2004, In : American Mathematical Monthly. 111, 1, p. 13-21 9 p.

Research output: Contribution to journalArticle

2002

Lattice polytopes with distinct pair-sums

Choi, M. D., Lam, T. Y. & Reznick, B., Jan 2002, In : Discrete and Computational Geometry. 27, 1, p. 65-72 8 p.

Research output: Contribution to journalArticle

2001

A new bound for Pólya's Theorem with applications to polynomials positive on polyhedra

Powers, V. & Reznick, B., Oct 24 2001, In : Journal of Pure and Applied Algebra. 164, 1-2, p. 221-229 9 p.

Research output: Contribution to journalArticle

2000

Polynomials that are positive on an interval

Powers, V. & Reznick, B., 2000, In : Transactions of the American Mathematical Society. 352, 10, p. 4677-4692 16 p.

Research output: Contribution to journalArticle

Open Access
1999

On the Nonmonotonicity of (Im(zn))

Reznick, B., Sep 1 1999, In : Journal of Number Theory. 78, 1, p. 144-148 5 p.

Research output: Contribution to journalArticle

1998

The maximal angular gap among rectangular grid points

Füredi, Z. & Reznick, B., 1998, In : Periodica Mathematica Hungarica. 36, 2-3, p. 119-137 19 p.

Research output: Contribution to journalArticle

1996

Homogeneous polynomial solutions to constant coefficient PDE's

Reznick, B., Feb 10 1996, In : Advances in Mathematics. 117, 2, p. 179-192 14 p.

Research output: Contribution to journalArticle

Sums of 2m-th powers of rational functions in one variable over real closed fields

Choi, M. D., Lam, T. Y., Prestel, A. & Reznick, B., Jan 1996, In : Mathematische Zeitschrift. 221, 1, p. 93-112 20 p.

Research output: Contribution to journalArticle

1995

Some constructions of spherical 5-designs

Reznick, B., 1995, In : Linear Algebra and Its Applications. 226-228, C, p. 163-196 34 p.

Research output: Contribution to journalArticle

Uniform denominators in Hilbert's seventeenth problem

Reznick, B. A., Dec 1 1995, In : Mathematische Zeitschrift. 220, 1, p. 75-97 23 p.

Research output: Contribution to journalArticle

1993

An inequality for products of polynomials

Reznick, B., 1993, In : Proceedings of the American Mathematical Society. 117, 4, p. 1063-1073 11 p.

Research output: Contribution to journalArticle

1992

Sums of even powers of real linear forms

Reznick, B., 1992, In : Memoirs of the American Mathematical Society. 96, 463, p. viii+155

Research output: Contribution to journalArticle

1989

Digital representations using the greatest integer function

Reznick, B. A., Mar 1989, In : Transactions of the American Mathematical Society. 312, 1, p. 355-375 21 p.

Research output: Contribution to journalArticle

Forms derived from the arithmetic-geometric inequality

Reznick, B. A., Sep 1 1989, In : Mathematische Annalen. 283, 3, p. 431-464 34 p.

Research output: Contribution to journalArticle

The sum of the squares of the parts of a partition, and some related questions

Reznick, B., Oct 1989, In : Journal of Number Theory. 33, 2, p. 199-208 10 p.

Research output: Contribution to journalArticle

1988

Eigensharp graphs:Decomposition into complete bipartite subgraphs

Kratzke, T., Reznick, B. & West, D., Aug 1988, In : Transactions of the American Mathematical Society. 308, 2, p. 637-653 17 p.

Research output: Contribution to journalArticle

1987

A quantitative version of Hurwitz' theorem on the arithmetic-geometric inequality

Reznick, B., Jan 1 1987, In : Journal fur die Reine und Angewandte Mathematik. 1987, 377, p. 108-112 5 p.

Research output: Contribution to journalArticle

Even symmetric sextics

Choi, M. D., Lam, T. Y. & Reznick, B., Dec 1 1987, In : Mathematische Zeitschrift. 195, 4, p. 559-580 22 p.

Research output: Contribution to journalArticle

The asymptotic behavior of a family of sequences

Erdös, P., Hildebrand, A., Odlyzko, A., Pudaite, P. & Reznick, B., Feb 1987, In : Pacific Journal of Mathematics. 126, 2, p. 227-241 15 p.

Research output: Contribution to journalArticle

1986

Lattice point simplices

Reznick, B., Jan 1 1986, In : Discrete Mathematics. 60, C, p. 219-242 24 p.

Research output: Contribution to journalArticle

1985

Decomposition of product graphs into complete bipartite subgraphs

Reznick, B., Tiwari, P. & West, D. B., Nov 1985, In : Discrete Mathematics. 57, 1-2, p. 189-193 5 p.

Research output: Contribution to journalArticle

Some extremal problems for continued fractions

Reznick, B. A., Jan 1 1985, In : Illinois Journal of Mathematics. 29, 2, p. 261-279 19 p.

Research output: Contribution to journalArticle

1983

Continued fractions and an annelidic PDE

Reznick, B., Dec 1 1983, In : The Mathematical Intelligencer. 5, 4, p. 61-63 3 p.

Research output: Contribution to journalArticle

On elementary methods in positivity theory

Gillis, J., Reznick, B. & Zeilberger, D., 1983, In : SIAM Journal on Mathematical Analysis. 14, 2, p. 396-398 3 p.

Research output: Contribution to journalArticle

Skewness in banach spaces

Fitzpatrick, S. & Reznick, B. A., Feb 1983, In : Transactions of the American Mathematical Society. 275, 2, p. 587-597 11 p.

Research output: Contribution to journalArticle

Some inequalities for products of power sums

Reznick, B., Feb 1983, In : Pacific Journal of Mathematics. 104, 2, p. 443-463 21 p.

Research output: Contribution to journalArticle

1982

The Pythagoras number of some affine algebras and local algebras

Choi, M. D., Dai, Z. D., Lam, T. Y. & Reznick, B., Jan 1 1982, In : Journal fur die Reine und Angewandte Mathematik. 1982, 336, p. 45-82 38 p.

Research output: Contribution to journalArticle

1981

A Turán inequality arising in information theory

McEliece, R. J., Reznick, B. & Shearer, J. B., 1981, In : SIAM Journal on Mathematical Analysis. 12, 6, p. 931-934 4 p.

Research output: Contribution to journalArticle

1980

Real zeros of positive semidefinite forms. I

Choi, M. D., Lam, T. Y. & Reznick, B. A., Feb 1 1980, In : Mathematische Zeitschrift. 171, 1, p. 1-26 26 p.

Research output: Contribution to journalArticle

Sums of squares in some integral domains

Choi, M. D., Lam, T. Y., Reznick, B. & Rosenberg, A., Jul 1980, In : Journal of Algebra. 65, 1, p. 234-256 23 p.

Research output: Contribution to journalArticle

1979

Banach spaces with polynomial norms

Reznick, B., May 1979, In : Pacific Journal of Mathematics. 82, 1, p. 223-235 13 p.

Research output: Contribution to journalArticle

When is the Iterate of A Formal Power Series Odd?

Reznick, B. A., Jan 1 1979, In : Journal of the Australian Mathematical Society. 28, 1, p. 62-66 5 p.

Research output: Contribution to journalArticle

1978

Banach spaces which satisfy linear identities

Reznick, B., Jan 1978, In : Pacific Journal of Mathematics. 74, 1, p. 221-234 14 p.

Research output: Contribution to journalArticle

Open Access