Concepedia

Half-integral Weight Modular Forms

Half-Integral Weight Modular Forms is a type of modular form defined on congruence subgroups of the modular group, characterized by transformation laws involving automorphy factors with half-integral exponents under the action of the metaplectic double cover of SL(2, ℝ), thereby generalizing classical integral weight modular forms to include weights in ½ℤ \ ℤ.

66

Publications

4.5K

Citations

73

Authors

67

Institutions

Publications per year

2017–2026

3

Parents

Publications

66

On Modular Forms of Half Integral Weight

Goro Shimura · Annals of Mathematics · 1973 · 989 citations

, , +12

Hyperbolic distribution problems and half-integral weight Maass forms

William Duke · Inventiones mathematicae · 1988 · 385 citations

, , +8

On construction of holomorphic cusp forms of half integral weight

Takuro Shintani · Nagoya Mathematical Journal · 1975 · 272 citations · Full text

, , +5

Fourier coefficients of modular forms of half-integral weight

Winfried Kohnen · Mathematische Annalen · 1985 · 235 citations

, , +9

Fourier coefficients of modular forms of half-integral weight

Henryk Iwaniec · Inventiones mathematicae · 1987 · 220 citations

, , +9

1–5 of 66

Authors

73

  1. WK
    Winfried Kohnen

    Heidelberg University, Germany

    6 publications · 566 citations

    6

    h-index

  2. GS
    Goro Shimura

    Princeton University, United States

    5 publications · 1.2K citations

    5

    h-index

  3. KO
    Ken Ono

    University of Wisconsin–Madison, United States

    4 publications · 193 citations

    4

    h-index

  4. WD
    William Duke

    University of California, Los Angeles, United States

    4 publications · 496 citations

    4

    h-index

  5. JH
    Jan Hendrik Bruinier

    Technische Universität Darmstadt, Germany

    3 publications · 159 citations

    3

    h-index

1–5 of 73

Institutions

67

  1. Heidelberg University

    Heidelberg, Germany

    3 h-index

    3 publications

    98 citations

  2. Princeton University

    Princeton, United States

    3 h-index

    4 publications

    339 citations

  3. The Ohio State University

    Columbus, United States

    2 h-index

    2 publications

    63 citations

  4. Brown University

    Providence, United States

    2 h-index

    4 publications

    64 citations

  5. McGill University

    Montreal, Canada

    2 h-index

    2 publications

    36 citations

  6. University of Cologne

    Cologne, Germany

    2 h-index

    5 publications

    93 citations

  7. University of Luxembourg

    Luxembourg, Luxembourg

    2 h-index

    2 publications

    24 citations

  8. Max Planck Institute for Mathematics

    Bonn, Germany

    2 h-index

    2 publications

    250 citations

1–8 of 67

Venues

  1. Nagoya Mathematical Journal

    6 publications · 543 citations

    6

    h-index

  2. Duke Mathematical Journal

    DMJ · 5 publications · 211 citations

    5

    h-index

  3. Mathematische Annalen

    5 publications · 568 citations

    5

    h-index

  4. International Journal of Number Theory

    IJNT · 4 publications · 82 citations

    4

    h-index

  5. Inventiones mathematicae

    4 publications · 903 citations

    4

    h-index

1–5