Concepedia

Glaisher's Theorem

Glaisher's Theorem is a fundamental result in the theory of integer partitions that states the number of partitions of a positive integer \( n \) into parts not divisible by a fixed integer \( d \) is equal to the number of partitions of \( n \) in which no part appears more than \( d-1 \) times.

5

Publications

109

Citations

5

Authors

4

Institutions

Publications per year

2017–2026

1

Parents

Publications

5

Two nonexistence theorems on partitions

D. H. Lehmer · Bulletin of the American Mathematical Society · 1946 · 31 citations · Full text

, , +9

A Theorem of Glaisher

L. Carlitz · Canadian Journal of Mathematics · 1953 · 30 citations · Full text

, , +2

Generalizing a partition theorem of Andrews

Shishuo Fu, Dazhao Tang · arXiv (Cornell University) · 2017 · 17 citations · Full text

, , +10

Some new van der Waerden numbers and some van der Waerden-type numbers

Tanbir Ahmed · Integers · 2009 · 16 citations

, , +10

Note on a Theorem of Glaisher

L. Carlitz · Journal of the London Mathematical Society · 1953 · 15 citations

, , +3

1–5 of 5

Authors

5

  1. LC
    L. Carlitz

    Duke University, United States

    2 publications · 45 citations

    2

    h-index

  2. TA
    Tanbir Ahmed

    Concordia University, Canada

    1 publications · 16 citations

    1

    h-index

  3. SF
    Shishuo Fu

    Chongqing University, China

    1 publications · 17 citations

    1

    h-index

  4. DH
    D. H. Lehmer

    University of California, Berkeley, United States

    1 publications · 31 citations

    1

    h-index

  5. DT
    Dazhao Tang

    Chongqing University, China

    1 publications · 17 citations

    1

    h-index

1–5 of 5

Institutions

4

  1. Duke University

    Durham, United States

    2 h-index

    2 publications

    45 citations

  2. Concordia University

    Portland, United States

    1 h-index

    1 publications

    16 citations

  3. Concordia University

    Montreal, Canada

    1 h-index

    1 publications

    16 citations

  4. Duke Energy (United States)

    Charlotte, United States

    1 h-index

    1 publications

    15 citations

1–4 of 4

Venues

  1. arXiv (Cornell University)

    Repository · 1 publications · 17 citations

    1

    h-index

  2. Bulletin of the American Mathematical Society

    1 publications · 31 citations

    1

    h-index

  3. Journal of the London Mathematical Society

    1 publications · 15 citations

    1

    h-index

  4. Integers

    1 publications · 16 citations

    1

    h-index

  5. Canadian Journal of Mathematics

    1 publications · 30 citations

    1

    h-index

1–5