Concepedia

Modular Forms Of Level One

Modular Forms of Level One is a modular form belonging to the genus of holomorphic functions on the upper half-plane that are invariant under the action of the full modular group SL(2, ℤ), distinguished by satisfying the specific transformation law and growth conditions at the cusp with respect to the congruence subgroup Γ(1) = SL(2, ℤ).

218

Publications

10.9K

Citations

298

Authors

209

Institutions

Publications per year

2017–2026

33

Variants

Level One Modular Forms

Parents

Publications

218

Fusion rules and modular transformations in 2D conformal field theory

Erik Verlinde · Nuclear Physics B · 1988 · 1.6K citations

, , +12

Mock Theta Functions

Sander Zwegers · ArXiv.org · 2008 · 433 citations · Full text

, , +13

Quantum Black Holes, Wall Crossing, and Mock Modular Forms

Atish Dabholkar, Sameer Murthy, Don Zagier · arXiv (Cornell University) · 2012 · 236 citations · Full text

, , +17

Modularity of the Rankin-Selberg L-Series, and Multiplicity One for SL(2)

Dinakar Ramakrishnan · Annals of Mathematics · 2000 · 234 citations

, , +14

Multi-Interval Subfactors and Modularity¶of Representations in Conformal Field Theory

Yasuyuki Kawahigashi, Roberto Longo, Michael Müger · Communications in Mathematical Physics · 2001 · 226 citations · Full text

, , +12

1–5 of 218

Authors

298

  1. DR
    David Ridout

    Australian National University, Australia

    5 publications · 373 citations

    5

    h-index

  2. TC
    Thomas Creutzig

    University of Alberta, Canada

    5 publications · 378 citations

    5

    h-index

  3. KB
    Kathrin Bringmann

    University of Cologne, Germany

    4 publications · 109 citations

    4

    h-index

  4. JM
    Jan Manschot

    Trinity College Dublin, Ireland

    4 publications · 125 citations

    4

    h-index

  5. FB
    Francis Brown

    Institut des Hautes Études Scientifiques, France

    3 publications · 77 citations

    3

    h-index

1–5 of 298

Institutions

209

  1. European Organization for Nuclear Research

    Geneva, Switzerland

    7 h-index

    10 publications

    260 citations

  2. The University of Tokyo

    Tokyo, Japan

    6 h-index

    6 publications

    447 citations

  3. Harvard University

    Cambridge, United States

    6 h-index

    7 publications

    345 citations

  4. Max Planck Institute for Mathematics

    Bonn, Germany

    6 h-index

    8 publications

    201 citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    6 h-index

    6 publications

    221 citations

  6. University of Oxford

    Oxford, United Kingdom

    6 h-index

    13 publications

    333 citations

  7. Sorbonne Université

    Paris, France

    5 h-index

    5 publications

    351 citations

  8. University of Toronto

    Toronto, Canada

    5 h-index

    5 publications

    99 citations

1–8 of 209

Venues

  1. Inventiones mathematicae

    11 publications · 943 citations

    11

    h-index

  2. Nuclear Physics B

    10 publications · 2.4K citations

    10

    h-index

  3. arXiv (Cornell University)

    Repository · 9 publications · 482 citations

    9

    h-index

  4. International Journal of Number Theory

    IJNT · 9 publications · 161 citations

    9

    h-index

  5. ArXiv.org

    Repository · 8 publications · 550 citations

    8

    h-index

1–5