Concepedia

Primes In Arithmetic Progressions

Primes in Arithmetic Progressions is a theorem in analytic number theory that asserts the infinitude of prime numbers within any arithmetic progression whose first term and common difference are coprime integers.

176

Publications

7.6K

Citations

181

Authors

124

Institutions

Publications per year

2017–2026

11

Variants

Dirichlet's Theorem On Arithmetic Progressions

Parents

Publications

176

The primes contain arbitrarily long arithmetic progressions

Benjamin Green, Terence Tao · Annals of Mathematics · 2008 · 822 citations · Full text

, , +12

Linear equations in primes

Ben Green, Terence Tao · Annals of Mathematics · 2010 · 363 citations · Full text

, , +8

AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM

Ben Green, Terence Tao · Proceedings of the Edinburgh Mathematical Society · 2008 · 278 citations · Full text

, , +13

Primes in arithmetic progressions to large moduli

Enrico Bombieri, John Friedlander, Henryk Iwaniec · Acta Mathematica · 1986 · 274 citations · Full text

, , +6

Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression

D. R. Heath‐Brown · Proceedings of the London Mathematical Society · 1992 · 232 citations · Full text

, , +8

1–5 of 176

Authors

181

  1. TT
    Terence Tao

    University of California, Los Angeles, United States

    13 publications · 1.8K citations

    12

    h-index

  2. BG
    Ben Green

    University of California, Los Angeles, United States

    8 publications · 451 citations

    8

    h-index

  3. JF
    John Friedlander

    University of Toronto, Canada

    6 publications · 491 citations

    6

    h-index

  4. HI
    Henryk Iwaniec

    Rutgers, The State University of New Jersey, United States

    5 publications · 512 citations

    5

    h-index

  5. AG
    Andrew Granville

    Université de Montréal, Canada

    5 publications · 154 citations

    5

    h-index

1–5 of 181

Institutions

124

  1. University of California, Los Angeles

    Los Angeles, United States

    12 h-index

    16 publications

    1.9K citations

  2. Université de Montréal

    Montreal, Canada

    6 h-index

    9 publications

    132 citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    6 h-index

    10 publications

    205 citations

  4. Stanford University

    Stanford, United States

    6 h-index

    7 publications

    174 citations

  5. Tata Institute of Fundamental Research

    Mumbai, India

    5 h-index

    7 publications

    121 citations

  6. University of Cambridge

    Cambridge, United Kingdom

    5 h-index

    5 publications

    1.1K citations

  7. University of Georgia

    Athens, United States

    5 h-index

    5 publications

    312 citations

  8. Royal Holloway University of London

    Egham, United Kingdom

    4 h-index

    4 publications

    101 citations

1–8 of 124

Venues

  1. Acta Arithmetica

    17 publications · 484 citations

    14

    h-index

  2. Annals of Mathematics

    9 publications · 1.8K citations

    9

    h-index

  3. Mathematics of Computation

    MCOM · 9 publications · 331 citations

    9

    h-index

  4. Journal of Number Theory

    8 publications · 219 citations

    8

    h-index

  5. ArXiv.org

    Repository · 6 publications · 138 citations

    6

    h-index

1–5