Concepedia

Euler's Partition Theorem

Euler's Partition Theorem is a fundamental theorem in additive number theory that establishes the equality between the number of partitions of an integer into distinct parts and the number of partitions into odd parts.

48

Publications

1.2K

Citations

63

Authors

45

Institutions

Publications per year

2017–2026

7

Variants

Euler's Partition Identity

Parents

Publications

48

Residue formulae for vector partitions and Euler–MacLaurin sums

András Szenes, Michèle Vergne · Advances in Applied Mathematics · 2003 · 86 citations

, , +11

Partitions associated with the Ramanujan/Watson mock theta functions ω(q), ν(q)and ϕ(q)

George E. Andrews, Atul Dixit, Ae Ja Yee · Research in Number Theory · 2015 · 64 citations · Full text

, , +12

Ramanujan's “Lost” Notebook V: Euler's partition identity

George E. Andrews · Advances in Mathematics · 1986 · 62 citations

, , +9

Partition identities involving gaps and weights

Krishnaswami Alladi · Transactions of the American Mathematical Society · 1997 · 58 citations · Full text

, , +9

A simple proof of Watson's partition congruences for powers of 7

Frank Garvan · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1984 · 54 citations · Full text

, , +10

1–5 of 48

Authors

63

  1. GE
    George E. Andrews

    Pennsylvania State University, United States

    8 publications · 272 citations

    8

    h-index

  2. AJ
    Ae Ja Yee

    Pennsylvania State University, United States

    3 publications · 99 citations

    3

    h-index

  3. DZ
    Doron Zeilberger

    Temple University, United States

    2 publications · 37 citations

    2

    h-index

  4. VP
    V. P. Maslov

    Lomonosov Moscow State University, Russia

    2 publications · 24 citations

    2

    h-index

  5. KA
    Krishnaswami Alladi

    University of Florida, United States

    2 publications · 69 citations

    2

    h-index

1–5 of 63

Institutions

45

  1. Pennsylvania State University

    State College, United States

    9 h-index

    10 publications

    382 citations

  2. National Research University Higher School of Economics

    Moscow, Russia

    3 h-index

    3 publications

    37 citations

  3. University of Florida

    Gainesville, United States

    2 h-index

    3 publications

    80 citations

  4. Institute for Problems in Mechanics

    Moscow, Russia

    2 h-index

    2 publications

    24 citations

  5. Rutgers, The State University of New Jersey

    New Brunswick, United States

    2 h-index

    3 publications

    102 citations

  6. University of California, Davis

    Davis, United States

    2 h-index

    2 publications

    47 citations

  7. Technische Hochschule Mittelhessen

    Giessen, Germany

    1 h-index

    1 publications

    12 citations

  8. Lanzhou University

    Lanzhou, China

    1 h-index

    1 publications

    14 citations

1–8 of 45

Venues

  1. American Mathematical Monthly

    6 publications · 124 citations

    6

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 3 publications · 81 citations

    3

    h-index

  3. Journal of Combinatorial Theory Series A

    3 publications · 70 citations

    3

    h-index

  4. The Ramanujan Journal

    3 publications · 57 citations

    3

    h-index

  5. Mathematics of Computation

    MCOM · 2 publications · 33 citations

    2

    h-index

1–5