Concepedia

Partition Generating Functions

Partition Generating Function is a formal power series in which the coefficient of each term enumerates the number of integer partitions of a given integer under specified constraints, serving as a generating function specifically tailored to encode partition-theoretic information in the context of partition calculus and combinatorial analysis.

1.1K

Publications

49.8K

Citations

1.4K

Authors

716

Institutions

Publications per year

2017–2026

189

Variants

Partition Generating Function

Parents

Publications

1.1K

Calculation of Partition Functions

John P. Hubbard · Physical Review Letters · 1959 · 1.4K citations

, , +11

Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems: Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin Correlations

Masuo Suzuki · Progress of Theoretical Physics · 1976 · 1.1K citations · Full text

, , +14

Wavelets and multifractal formalism for singular signals: Application to turbulence data

Jean–François Muzy, Emmanuel Bacry, A. Arnéodo · Physical Review Letters · 1991 · 785 citations

, , +16

Modular invariant partition functions in two dimensions

Andrea Cappelli, C. Itzykson, Jean-Bernard Zuber · Nuclear Physics B · 1987 · 549 citations

, , +6

Modular invariant partition functions for parafermionic field theories

Doron Gepner, Zongan Qiu · Nuclear Physics B · 1987 · 452 citations

, , +13

1–5 of 1.1K

Authors

1.4K

  1. GE
    George E. Andrews

    Pennsylvania State University, United States

    26 publications · 1.2K citations

    20

    h-index

  2. FG
    Frank Garvan

    University of Florida, United States

    11 publications · 515 citations

    10

    h-index

  3. KB
    Kathrin Bringmann

    University of Cologne, Germany

    9 publications · 354 citations

    9

    h-index

  4. JA
    James A. Sellers

    Pennsylvania State University, United States

    9 publications · 282 citations

    9

    h-index

  5. AJ
    Ae Ja Yee

    Pennsylvania State University, United States

    7 publications · 166 citations

    7

    h-index

1–5 of 1.4K

Institutions

716

  1. Pennsylvania State University

    State College, United States

    27 h-index

    52 publications

    2K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    24 h-index

    62 publications

    3K citations

  3. Institute for Advanced Study

    Princeton, United States

    22 h-index

    28 publications

    2.4K citations

  4. The University of Tokyo

    Tokyo, Japan

    20 h-index

    59 publications

    4K citations

  5. Princeton University

    Princeton, United States

    20 h-index

    28 publications

    2.3K citations

  6. Harvard University

    Cambridge, United States

    16 h-index

    25 publications

    1.9K citations

  7. University of Amsterdam

    Amsterdam, The Netherlands

    15 h-index

    17 publications

    648 citations

  8. Massachusetts Institute of Technology

    Cambridge, United States

    15 h-index

    27 publications

    1.5K citations

1–8 of 716

Venues

  1. Journal of High Energy Physics

    JHEP · 141 publications · 6.9K citations

    47

    h-index

  2. Nuclear Physics B

    40 publications · 3.3K citations

    24

    h-index

  3. Physics Letters B

    25 publications · 1.5K citations

    20

    h-index

  4. arXiv (Cornell University)

    Repository · 43 publications · 1.3K citations

    19

    h-index

  5. Journal of Number Theory

    24 publications · 625 citations

    18

    h-index

1–5