Concepedia

Higher-order Congruences

Higher-Order Congruences is a mathematical framework that extends classical modular arithmetic congruences by examining polynomial or exponential relationships among residues modulo a prime, thereby capturing higher-degree patterns beyond linear or first-order congruences.

29

Publications

1.8K

Citations

44

Authors

22

Institutions

Publications per year

2017–2026

5

Parents

Publications

29

Numbers of solutions of equations in finite fields

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

, , +12

Top-down and bottom-up sequential modulations of congruency effects

Wim Notebaert, Wim Gevers, Frederick Verbruggen et al. · Psychonomic Bulletin & Review · 2006 · 160 citations · Full text

, , +6

Cyclotomy, Higher Congruences, and Waring's Problem

L. E. Dickson · American Journal of Mathematics · 1935 · 158 citations

, , +5

Cyclotomy, Higher Congruences, and Waring's Problem II

L. E. Dickson · American Journal of Mathematics · 1935 · 133 citations

, , +8

An elementary proof of p(11m+6)≡0 (mod 11)

Lasse Winquist · Journal of Combinatorial Theory · 1969 · 92 citations

, , +4

1–5 of 29

Authors

44

  1. OX
    Olivia X. M. Yao

    Jiangsu University, China

    2 publications · 41 citations

    2

    h-index

  2. ZS
    Zhi‐Wei Sun

    Nanjing University, China

    1 publications · 11 citations

    1

    h-index

  3. LW
    Lasse Winquist

    1 publications · 92 citations

    1

    h-index

  4. TG
    Tjalling Gelsema

    Leiden University, Netherlands

    1 publications · 15 citations

    1

    h-index

  5. AS
    Andrzej Schinzel

    Institute of Mathematics, Poland

    1 publications · 56 citations

    1

    h-index

1–5 of 44

Institutions

22

  1. Jiangsu University

    Zhenjiang, China

    2 h-index

    2 publications

    41 citations

  2. Pennsylvania State University

    State College, United States

    2 h-index

    5 publications

    191 citations

  3. Ghent University Hospital

    Ghent, Belgium

    1 h-index

    1 publications

    160 citations

  4. University of Alberta

    Edmonton, Canada

    1 h-index

    3 publications

    42 citations

  5. RIKEN Center for Brain Science

    Wako, Japan

    1 h-index

    2 publications

    116 citations

  6. Leipzig University

    Leipzig, Germany

    1 h-index

    1 publications

    58 citations

  7. Tsuda University

    Tokyo, Japan

    1 h-index

    1 publications

    12 citations

  8. Leiden University

    Leiden, The Netherlands

    1 h-index

    2 publications

    30 citations

1–8 of 22

Venues

  1. Journal of Number Theory

    4 publications · 139 citations

    4

    h-index

  2. The Ramanujan Journal

    4 publications · 131 citations

    4

    h-index

  3. International Journal of Number Theory

    IJNT · 2 publications · 57 citations

    2

    h-index

  4. American Journal of Mathematics

    2 publications · 291 citations

    2

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 1 publications · 47 citations

    1

    h-index

1–5