Concepedia

Congruence Equations

Congruence Equations is a mathematical construct in modular arithmetic that denotes a type of equation asserting the equivalence of two integers modulo a given positive integer, distinguished by its reliance on residue class equality rather than exact numerical equality.

135

Publications

5.2K

Citations

183

Authors

117

Institutions

Publications per year

2017–2026

10

Parents

Publications

135

Numbers of solutions of equations in finite fields

André Weil · Bulletin of the American Mathematical Society · 1949 · 521 citations · Full text

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A congruence theorem for trees

Paul S. Kelly · Pacific Journal of Mathematics · 1957 · 323 citations · Full text

, , +4

XV. On systems of linear indeterminate equations and congruences

Henry J. Stephen Smith · Philosophical Transactions of the Royal Society of London · 1861 · 287 citations · Full text

, , +8

Congruences concerning Bernoulli numbers and Bernoulli polynomials

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

, , +7

Congruences on regular semigroups

Norman R. Reilly, H. E. Scheiblich · Pacific Journal of Mathematics · 1967 · 147 citations · Full text

, , +5

1–5 of 135

Authors

183

  1. ZS
    Zhi-Hong Sun

    Huaiyin Normal University, China

    5 publications · 332 citations

    5

    h-index

  2. JB
    Jean Bourgain

    Institute for Advanced Study, United States

    3 publications · 85 citations

    3

    h-index

  3. IE
    Igor E. Shparlinski

    Macquarie University, Australia

    3 publications · 85 citations

    3

    h-index

  4. SK
    Sergeĭ Konyagin

    Lomonosov Moscow State University, Russia

    3 publications · 85 citations

    3

    h-index

  5. MP
    Mario Petrich

    Simon Fraser University, Canada

    3 publications · 133 citations

    3

    h-index

1–5 of 183

Institutions

117

  1. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    4 h-index

    4 publications

    116 citations

  2. Steklov Mathematical Institute

    Moscow, Russia

    4 h-index

    4 publications

    99 citations

  3. University of Utah

    Salt Lake City, United States

    3 h-index

    3 publications

    102 citations

  4. Huaiyin Normal University

    Huai'an, China

    3 h-index

    3 publications

    288 citations

  5. Nanjing University

    Nanjing, China

    3 h-index

    3 publications

    106 citations

  6. University of Toronto

    Toronto, Canada

    3 h-index

    4 publications

    63 citations

  7. Universidad Carlos III de Madrid

    Madrid, Spain

    2 h-index

    2 publications

    74 citations

  8. Institute of Mathematics

    Kyiv, Ukraine

    2 h-index

    2 publications

    68 citations

1–8 of 117

Venues

  1. Journal of Number Theory

    7 publications · 410 citations

    7

    h-index

  2. Pacific Journal of Mathematics

    7 publications · 613 citations

    7

    h-index

  3. Acta Arithmetica

    6 publications · 99 citations

    6

    h-index

  4. Mathematics of Computation

    MCOM · 6 publications · 143 citations

    6

    h-index

  5. Discrete Mathematics

    5 publications · 100 citations

    5

    h-index

1–5