Some concrete aspects of Hilbert's 17th problem B Reznick Contemporary mathematics 253, 251-272, 2000 | 597 | 2000 |

Sums of squares of real polynomials MD Choi, TY Lam, B Reznick Proceedings of Symposia in Pure mathematics 58, 103-126, 1995 | 471 | 1995 |

Sum of even powers of real linear forms BA Reznick American Mathematical Soc., 1992 | 291 | 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 | 245 | 2001 |

Extremal PSD forms with few terms B Reznick | 224 | 1978 |

Uniform denominators in Hilbert's seventeenth problem B Reznick Mathematische Zeitschrift 220 (1), 75-97, 1995 | 194 | 1995 |

Polynomials that are positive on an interval V Powers, B Reznick Transactions of the American Mathematical Society 352 (10), 4677-4692, 2000 | 155 | 2000 |

The Pythagoras number of some affine algebras and local algebras. MD Choi, ZD Dai, TY Lam Walter de Gruyter, Berlin/New York 1982 (336), 45-82, 1982 | 118 | 1982 |

Real zeros of positive semidefinite forms. I MD Choi, TY Lam, B Reznick Mathematische Zeitschrift 171, 1-26, 1980 | 113 | 1980 |

Even symmetric sextics MD Choi, TY Lam, B Reznick Mathematische Zeitschrift 195 (4), 559-580, 1987 | 108 | 1987 |

Some binary partition functions B Reznick Analytic number theory: Proceedings of a conference in honor of Paul T …, 1990 | 96 | 1990 |

Forms derived from the arithmetic-geometric inequality B Reznick Mathematische Annalen 283 (3), 431-464, 1989 | 96 | 1989 |

Projective resolutions over Artin algebras with zero relations EL Green, D Happel, D Zacharia Illinois Journal of Mathematics 29 (1), 180-190, 1985 | 92 | 1985 |

Eigensharp graphs: Decomposition into complete bipartite subgraphs T Kratzke, B Reznick, D West Transactions of the American mathematical society 308 (2), 637-653, 1988 | 67 | 1988 |

On Hilbert's construction of positive polynomials B Reznick arXiv preprint arXiv:0707.2156, 2007 | 64 | 2007 |

Lattice point simplices B Reznick Discrete Mathematics 60, 219-242, 1986 | 48 | 1986 |

Sums of squares in some integral domains MD Choi, TY Lam, B Reznick, A Rosenberg Journal of Algebra 65 (1), 234-256, 1980 | 47 | 1980 |

On the length of binary forms B Reznick Quadratic and higher degree forms, 207-232, 2013 | 46 | 2013 |

Regularity properties of the Stern enumeration of the rationals B Reznick arXiv preprint math/0610601, 2006 | 46 | 2006 |

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 | 41 | 1999 |