Concepedia

Alternating Sum Identities

Alternating Sum Identities is a mathematical framework within combinatorial theory that characterizes the systematic representation of inclusion-exclusion calculations through weighted sums with alternating signs, distinguished by its formalization of overlapping set contributions in enumerative problems.

49

Publications

1.6K

Citations

59

Authors

51

Institutions

Publications per year

2017–2026

5

Parents

Publications

49

Explicit evaluation of Euler sums

David Borwein, Jonathan M. Borwein, Roland Girgensohn · Proceedings of the Edinburgh Mathematical Society · 1995 · 236 citations · Full text

, , +7

A Generalization of the Duality and Sum Formulas on the Multiple Zeta Values

Yasuo Ohno · Journal of Number Theory · 1999 · 190 citations

, , +10

The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order

Qiu-Ming Luo · Integral Transforms and Special Functions · 2009 · 87 citations

, , +7

Algorithmic aspects of alternating sum of volumes. Part 1: Data structure and difference operation

Kai Tang, Tae Ho Woo · Computer-Aided Design · 1991 · 66 citations · Full text

, , +8

ENUMERATIVE COMBINATORICS, VOLUME 2 (Cambridge Studies in Advanced Mathematics 62)

George E. Andrews · Bulletin of the London Mathematical Society · 2000 · 64 citations

, , +16

1–5 of 49

Authors

59

  1. SR
    Seog-Hoon Rim

    Kyungpook National University, South Korea

    2 publications · 26 citations

    2

    h-index

  2. VJ
    Victor J. W. Guo

    Huaiyin Normal University, China

    2 publications · 26 citations

    2

    h-index

  3. KT
    Kai Tang

    Hong Kong University of Science and Technology, Hong Kong SAR China

    2 publications · 95 citations

    2

    h-index

  4. ZČ
    Zvonko Čerin

    University of Zagreb, Croatia

    2 publications · 34 citations

    2

    h-index

  5. TH
    Tae Ho Woo

    Yonsei University, South Korea

    2 publications · 95 citations

    2

    h-index

1–5 of 59

Institutions

51

  1. East China Normal University

    Shanghai, China

    3 h-index

    4 publications

    132 citations

  2. Nanjing University

    Nanjing, China

    2 h-index

    2 publications

    59 citations

  3. Clemson University

    Clemson, United States

    2 h-index

    2 publications

    34 citations

  4. Institut Camille Jordan

    Villeurbanne, France

    2 h-index

    4 publications

    82 citations

  5. University of Michigan

    Ann Arbor, United States

    2 h-index

    4 publications

    190 citations

  6. Université Claude Bernard Lyon 1

    Villeurbanne, France

    2 h-index

    4 publications

    82 citations

  7. Akdeniz University

    Antalya, Türkiye

    2 h-index

    2 publications

    40 citations

  8. Sogang University

    Seoul, South Korea

    1 h-index

    1 publications

    30 citations

1–8 of 51

Venues

  1. The Electronic Journal of Combinatorics

    4 publications · 101 citations

    4

    h-index

  2. ArXiv.org

    Repository · 3 publications · 85 citations

    3

    h-index

  3. Discrete Mathematics

    3 publications · 82 citations

    3

    h-index

  4. 2

    h-index

  5. Advances in Difference Equations

    2 publications · 27 citations

    2

    h-index

1–5