Concepedia

Hecke Eigenforms

A Hecke Eigenform is a modular form that is an eigenvector for all Hecke operators, distinguished from other modular forms by the property that the action of each Hecke operator on it yields a scalar multiple of itself.

271

Publications

13.3K

Citations

292

Authors

198

Institutions

Publications per year

2017–2026

32

Variants

Hecke Eigenform

Parents

Publications

271

Representations of Coxeter groups and Hecke algebras

David Kazhdan, G. Lusztig · Inventiones mathematicae · 1979 · 1.7K citations

, , +12

Electric-magnetic duality and the geometric Langlands program

Anton Kapustin, Edward Witten · Communications in Number Theory and Physics · 2007 · 974 citations · Full text

, , +14

Affine Hecke algebras and their graded version

G. Lusztig · Journal of the American Mathematical Society · 1989 · 629 citations

, , +11

Cuspidality of symmetric powers with applications

Henry H. Kim, Freydoon Shahidi · Duke Mathematical Journal · 2002 · 305 citations

, , +10

Hecke algebras at roots of unity and crystal bases of quantum affine algebras

Alain Lascoux, Bernard Leclerc, Jean‐Yves Thibon · Communications in Mathematical Physics · 1996 · 289 citations

, , +14

1–5 of 271

Authors

292

  1. WK
    Winfried Kohnen

    Heidelberg University, Germany

    9 publications · 174 citations

    9

    h-index

  2. YL
    Yuk-Kam Lau

    University of Hong Kong, Hong Kong SAR China

    7 publications · 207 citations

    7

    h-index

  3. VB
    Valentin Blomer

    University of Göttingen, Germany

    6 publications · 210 citations

    6

    h-index

  4. GL
    G. Lusztig

    Massachusetts Institute of Technology, United States

    6 publications · 2.8K citations

    6

    h-index

  5. AA
    Avner Ash

    The Ohio State University, United States

    5 publications · 157 citations

    5

    h-index

1–5 of 292

Institutions

198

  1. Shandong University

    Jinan, China

    10 h-index

    10 publications

    230 citations

  2. Heidelberg University

    Heidelberg, Germany

    9 h-index

    10 publications

    189 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    9 publications

    274 citations

  4. University of Hong Kong

    Pok Fu Lam, Hong Kong

    7 h-index

    9 publications

    254 citations

  5. University of Toronto

    Toronto, Canada

    7 h-index

    7 publications

    277 citations

  6. The Ohio State University

    Columbus, United States

    6 h-index

    9 publications

    427 citations

  7. Harvard University

    Cambridge, United States

    6 h-index

    8 publications

    2.1K citations

  8. Kyoto University

    Kyoto, Japan

    6 h-index

    8 publications

    201 citations

1–8 of 198

Venues

  1. Journal of Number Theory

    14 publications · 316 citations

    12

    h-index

  2. Duke Mathematical Journal

    DMJ · 12 publications · 729 citations

    12

    h-index

  3. Acta Arithmetica

    11 publications · 284 citations

    10

    h-index

  4. ArXiv.org

    Repository · 9 publications · 192 citations

    9

    h-index

  5. Annals of Mathematics

    9 publications · 622 citations

    9

    h-index

1–5