Concepedia

Polynomial Congruences

Polynomial Congruences is a mathematical relation in number theory that asserts two polynomials are congruent modulo a given integer if their corresponding coefficients are congruent modulo that integer, forming the basis for analyzing solutions to polynomial equations over modular arithmetic.

201

Publications

7.9K

Citations

218

Authors

134

Institutions

Publications per year

2017–2026

18

Parents

Publications

201

Elementary Number Theory and Its Applications.

Samuel S. Wagstaff, Kenneth Rosen · Mathematics of Computation · 1987 · 846 citations

, , +17

On Congruences Involving Bernoulli Numbers and the Quotients of Fermat and Wilson

Emma Lehmer · Annals of Mathematics · 1938 · 231 citations

, , +4

New combinatorial interpretations of Ramanujan’s partition congruences mod 5,7 and 11

Frank Garvan · Transactions of the American Mathematical Society · 1988 · 214 citations · Full text

, , +14

Distribution of the Partition Function Modulo m

Ken Ono · Annals of Mathematics · 2000 · 203 citations

, , +11

Congruences concerning Bernoulli numbers and Bernoulli polynomials

Zhi-Hong Sun · Discrete Applied Mathematics · 2000 · 157 citations

, , +7

1–5 of 201

Authors

218

  1. ZS
    Zhi‐Wei Sun

    Nanjing University, China

    18 publications · 664 citations

    14

    h-index

  2. ZS
    Zhi-Hong Sun

    Huaiyin Normal University, China

    10 publications · 476 citations

    10

    h-index

  3. KO
    Ken Ono

    University of Wisconsin–Madison, United States

    8 publications · 520 citations

    8

    h-index

  4. RT
    Roberto Tauraso

    University of Rome Tor Vergata, Italy

    8 publications · 259 citations

    8

    h-index

  5. VJ
    Victor J. W. Guo

    Huaiyin Normal University, China

    4 publications · 170 citations

    4

    h-index

1–5 of 218

Institutions

134

  1. Nanjing University

    Nanjing, China

    16 h-index

    22 publications

    897 citations

  2. Huaiyin Normal University

    Huai'an, China

    11 h-index

    11 publications

    574 citations

  3. University of Rome Tor Vergata

    Rome, Italy

    8 h-index

    8 publications

    294 citations

  4. Pennsylvania State University

    State College, United States

    8 h-index

    8 publications

    372 citations

  5. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    7 publications

    320 citations

  6. Jiangsu University

    Zhenjiang, China

    4 h-index

    4 publications

    76 citations

  7. University of Wisconsin–Madison

    Madison, United States

    4 h-index

    5 publications

    509 citations

  8. Emory University

    Atlanta, United States

    3 h-index

    4 publications

    190 citations

1–8 of 134

Venues

  1. Journal of Number Theory

    34 publications · 1.3K citations

    20

    h-index

  2. International Journal of Number Theory

    IJNT · 14 publications · 387 citations

    12

    h-index

  3. The Ramanujan Journal

    11 publications · 222 citations

    10

    h-index

  4. Acta Arithmetica

    9 publications · 250 citations

    9

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 8 publications · 440 citations

    8

    h-index

1–5