Bruce A Reznick

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Research Output

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2013

On the length of binary forms

Reznick, B., 2013, Quadratic and higher degree forms. Springer New York LLC, Vol. 31. p. 207-232 26 p. (Dev. Math.).

Research output: Chapter in Book/Report/Conference proceedingChapter

2011

Blenders

Reznick, B., 2011, Notions of positivity and the geometry of polynomials. Birkhäuser/Springer Basel AG, Basel, p. 345-373 29 p. (Trends Math.).

Research output: Chapter in Book/Report/Conference proceedingChapter

2008

Let me tell you my favorite lattice-point problem. . .

Beck, M., Nill, B., Reznick, B., Savage, C., Soprunov, I. & Xu, Z., 2008, Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics. Amer. Math. Soc., Providence, R.I., Vol. 452. p. 179-187 9 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingChapter

2005

Problems from the Cottonwood Room

Beck, M., Chen, B., Fukshansky, L., Haase, C., Knutson, A., Reznick, B., Robins, S. & Schürmann, A., 2005, Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics. Amer. Math. Soc., Providence, R.I., Vol. 374. p. 179-191 13 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingChapter

2003

Patterns of dependence among powers of polynomials

Reznick, B., 2003, Algorithmic and quantitative real algebraic geometry (Piscataway, NJ, 2001). Amer. Math. Soc., Providence, R.I., Vol. 60. p. 101-121 21 p. (DIMACS Ser. Discrete Math. Theoret. Comput. Sci.).

Research output: Chapter in Book/Report/Conference proceedingChapter

2000

Notes towards a constructive proof of Hilbert's theorem on ternary quartics

Powers, V. & Reznick, B., 2000, Quadratic forms and their applications (Dublin, 1999). Amer. Math. Soc., Providence, R.I., Vol. 272. p. 209-227 19 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingChapter

Some concrete aspects of Hilbert's 17th Problem

Reznick, B., 2000, Real algebraic geometry and ordered structures (Baton Rouge, LA, 1996). Amer. Math. Soc., Providence, R.I., Vol. 253. p. 251-272 22 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingChapter

1995

Sums of squares of real polynomials

Choi, M. D., Lam, T. Y. & Reznick, B., 1995, $K$-theory and algebraic geometry: connections with quadratic forms and division algebras (Santa Barbara, CA, 1992). Amer. Math. Soc., Providence, R.I., Vol. 58. p. 103-126 24 p. (Proc. Sympos. Pure Math.).

Research output: Chapter in Book/Report/Conference proceedingChapter

1990

Some binary partition functions

Reznick, B., 1990, Analytic number theory (Allerton Park, IL, 1989). Birkhäuser Boston, Boston, MA, Vol. 85. p. 451-477 27 p. (Progr. Math.).

Research output: Chapter in Book/Report/Conference proceedingChapter

1982

Transversal zeros and positive semidefinite forms

Choi, M. D., Knebusch, M., Lam, T. Y. & Reznick, B., 1982, Real algebraic geometry and quadratic forms (Rennes, 1981). Springer, Berlin-New York, Vol. 959. p. 273-298 26 p. (Lecture Notes in Math.).

Research output: Chapter in Book/Report/Conference proceedingChapter