Concepedia

Oppenheim Conjecture

The Oppenheim Conjecture is a mathematical conjecture in the field of Diophantine Approximation that posits that for any irrational indefinite quadratic form in at least three variables, the set of values taken at integer points is dense in the real numbers.

18

Publications

974

Citations

24

Authors

21

Institutions

Publications per year

2017–2026

1

Parents

Publications

18

On a problem of Oppenheim concerning “factorisatio numerorum”

E. Rodney Canfield, Paul Erdős, Carl Pomerance · Journal of Number Theory · 1983 · 328 citations

, , +3

Upper Bounds and Asymptotics in a Quantitative Version of the Oppenheim Conjecture

Alex Eskin, G. A. Margulis, Shahar Mozes · Annals of Mathematics · 1998 · 194 citations

, , +8

Pair correlation densities of inhomogeneous quadratic forms

Jens Marklof · Annals of Mathematics · 2003 · 98 citations · Full text

, , +9

Quadratic forms of signature (2,2) and eigenvalue spacings on rectangular 2-tori

Alex Eskin, Shahar Mozes · Annals of Mathematics · 2005 · 77 citations · Full text

, , +8

Lattice Point Problems and Distribution of Values of Quadratic Forms

V. Bentkus, Friedrich Götze · Annals of Mathematics · 1999 · 68 citations

, , +11

1–5 of 18

Authors

24

  1. SM
    Shahar Mozes

    Hebrew University of Jerusalem, Israel

    2 publications · 271 citations

    2

    h-index

  2. AE
    Alex Eskin

    University of Chicago, United States

    2 publications · 271 citations

    2

    h-index

  3. JC
    John Chollet

    University of California, Santa Barbara, United States

    2 publications · 30 citations

    2

    h-index

  4. JW
    Jun Wu

    Southeast University, China

    1 publications · 18 citations

    1

    h-index

  5. LZ
    Ling Zhu

    Zhejiang Gongshang University, China

    1 publications · 15 citations

    1

    h-index

1–5 of 24

Institutions

21

  1. Yale University

    New Haven, United States

    2 h-index

    2 publications

    103 citations

  2. University of Chicago

    Chicago, United States

    2 h-index

    2 publications

    103 citations

  3. University of Bristol

    Bristol, United Kingdom

    2 h-index

    2 publications

    110 citations

  4. Wuhan University

    Wuhan, China

    2 h-index

    2 publications

    30 citations

  5. Tata Institute of Fundamental Research

    Mumbai, India

    2 h-index

    2 publications

    29 citations

  6. The Ohio State University

    Columbus, United States

    1 h-index

    1 publications

    20 citations

  7. University of Victoria

    Victoria, Canada

    1 h-index

    1 publications

    14 citations

  8. University of Michigan

    Ann Arbor, United States

    1 h-index

    1 publications

    20 citations

1–8 of 21

Venues

  1. Annals of Mathematics

    4 publications · 437 citations

    4

    h-index

  2. American Mathematical Monthly

    2 publications · 30 citations

    2

    h-index

  3. Journal of Number Theory

    2 publications · 346 citations

    2

    h-index

  4. 1

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 1 publications · 20 citations

    1

    h-index

1–5