Some concrete aspects of Hilbert's 17th problem B Reznick Contemporary mathematics 253, 251-272, 2000 | 507 | 2000 |

Sums of squares of real polynomials MD Choi, TY Lam, B Reznick Proceedings of Symposia in Pure mathematics 58, 103-126, 1995 | 398 | 1995 |

Sum of even powers of real linear forms BA Reznick American Mathematical Soc., 1992 | 249 | 1992 |

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 | 202 | 2001 |

Extremal PSD forms with few terms B Reznick Duke mathematical journal 45 (2), 363-374, 1978 | 159 | 1978 |

Uniform denominators in Hilbert's seventeenth problem B Reznick Mathematische Zeitschrift 220 (1), 75-97, 1995 | 134 | 1995 |

Polynomials that are positive on an interval V Powers, B Reznick Transactions of the American Mathematical Society 352 (10), 4677-4692, 2000 | 100 | 2000 |

The Pythagoras number of some affine algebras and local algebras MD Choi, ZD Dai, TY Lam, B Reznick J. reine angew. Math 336, 45-82, 1982 | 93 | 1982 |

Real zeros of positive semidefinite forms. I MD Choi, TY Lam, B Reznick Mathematische Zeitschrift 171 (1), 1-26, 1980 | 86 | 1980 |

Some binary partition functions B Reznick Analytic number theory, 451-477, 1990 | 83 | 1990 |

Even symmetric sextics MD Choi, TY Lam, B Reznick Mathematische Zeitschrift 195 (4), 559-580, 1987 | 76 | 1987 |

Eigensharp graphs: decomposition into complete bipartite subgraphs T Kratzke, B Reznick, D West Transactions of the American mathematical society 308 (2), 637-653, 1988 | 51 | 1988 |

On Hilbert's construction of positive polynomials B Reznick arXiv preprint arXiv:0707.2156, 2007 | 50 | 2007 |

Forms derived from the arithmetic-geometric inequality B Reznick Mathematische Annalen 283 (3), 431-464, 1989 | 50 | 1989 |

Lattice point simplices B Reznick Discrete Mathematics 60, 219-242, 1986 | 42 | 1986 |

Regularity properties of the Stern enumeration of the rationals B Reznick arXiv preprint math/0610601, 2006 | 39 | 2006 |

An inequality for products of polynomials B Reznick Proceedings of the American Mathematical Society 117 (4), 1063-1073, 1993 | 37 | 1993 |

Problems from the cottonwood room M Beck, B Chen, L Fukshansky, C Haase, A Knutson, B Reznick, ... | 35 | 2005 |

Some constructions of spherical 5-designs B Reznick Linear algebra and its applications 226, 163-196, 1995 | 35 | 1995 |

Notes towards a constructive proof of Hilbert’s theorem on ternary quartics V Powers, B Reznick Quadratic Forms and Their Applications (Dublin, 1999), Contemp. Math 272 …, 1999 | 34 | 1999 |