Concepedia

Sieve Methods

Sieve Methods is a collection of combinatorial and analytic techniques in number theory that estimates the size of sifted sets of integers by systematically excluding elements with specified prime divisors or other arithmetic properties, typically through refined forms of the inclusion–exclusion principle and weighted counting.

403

Publications

19.3K

Citations

731

Authors

329

Institutions

Publications per year

2017–2026

28

Variants

Sieve Theory

Parents

Children

Publications

403

Silicalite, a new hydrophobic crystalline silica molecular sieve

Edith M. Flanigen, J. M. Bennett, Robert W. Grose et al. · Nature · 1978 · 1.2K citations

, , +10

Metallo-organic molecular sieve for gas separation and purification

Qing Wang, Dongmin Shen, Martin Bülow et al. · Microporous and Mesoporous Materials · 2002 · 773 citations

, , +12

A molecular sieve with eighteen-membered rings

Mark E. Davis, Carlos Saldarriaga, Consuelo Montes et al. · Nature · 1988 · 680 citations

, , +5

A sieve algorithm for the shortest lattice vector problem

Miklós Ajtai, Ravi Kumar, D. Sivakumar · 2001 · 553 citations

, , +13

The large sieve

Hugh L. Montgomery, R. C. Vaughan · Mathematika · 1973 · 372 citations

, , +1

1–5 of 403

Authors

731

  1. HI
    Henryk Iwaniec

    Rutgers, The State University of New Jersey, United States

    11 publications · 521 citations

    11

    h-index

  2. RF
    Ray F. Evert

    University of Wisconsin–Madison, United States

    6 publications · 205 citations

    6

    h-index

  3. AK
    Arjen K. Lenstra

    École Polytechnique Fédérale de Lausanne, Switzerland

    5 publications · 217 citations

    5

    h-index

  4. JF
    John Friedlander

    University of Toronto, Canada

    5 publications · 153 citations

    5

    h-index

  5. OS
    Oliver Schirokauer

    Oberlin College, United States

    4 publications · 231 citations

    4

    h-index

1–5 of 731

Institutions

329

  1. University of Wisconsin–Madison

    Madison, United States

    11 h-index

    20 publications

    745 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    22 publications

    640 citations

  3. Institute for Advanced Study

    Princeton, United States

    8 h-index

    13 publications

    755 citations

  4. University of Michigan

    Ann Arbor, United States

    7 h-index

    9 publications

    457 citations

  5. Rutgers, The State University of New Jersey

    New Brunswick, United States

    7 h-index

    10 publications

    454 citations

  6. Pennsylvania State University

    State College, United States

    6 h-index

    11 publications

    377 citations

  7. Princeton University

    Princeton, United States

    5 h-index

    5 publications

    323 citations

  8. University of Illinois Urbana-Champaign

    Urbana, United States

    5 h-index

    13 publications

    408 citations

1–8 of 329

Venues

  1. Mathematics of Computation

    MCOM · 30 publications · 1.1K citations

    19

    h-index

  2. Acta Arithmetica

    18 publications · 805 citations

    14

    h-index

  3. Powder Technology

    9 publications · 198 citations

    9

    h-index

  4. Mathematika

    8 publications · 475 citations

    8

    h-index

  5. Journal of Number Theory

    8 publications · 234 citations

    8

    h-index

1–5