Concepedia

Modular Form Computations

Modular Form Computations is a computational methodology in Computational Number Theory that specifically involves the algorithmic construction, manipulation, and analysis of modular forms and their arithmetic invariants through finite approximations, Fourier expansions, Hecke operators, and associated L-functions.

1.1K

Publications

47.9K

Citations

1.1K

Authors

536

Institutions

Publications per year

2017–2026

111

Parents

Publications

1.1K

Introduction to the Arithmetic Theory of Automorphic Functions

Marvin Tretkoff, Goro Shimura · Mathematics of Computation · 1972 · 2.1K citations

, , +8

On Modular Forms of Half Integral Weight

Goro Shimura · Annals of Mathematics · 1973 · 989 citations

, , +12

Modular curves, Shimura curves, and Goppa codes, better than Varshamov‐Gilbert bound

M. A. Tsfasman, S. G. Vlădutx, Th. Zink · Mathematische Nachrichten · 1982 · 545 citations

, , +12

On modular representations of $$(\bar Q/Q)$$ arising from modular forms

Kenneth A. Ribet · Inventiones mathematicae · 1990 · 500 citations

, , +12

Theta functions, modular invariance, and strings

Luis Álvarez-Gaumé, Gregory Moore, Cumrun Vafa · Communications in Mathematical Physics · 1986 · 485 citations

, , +10

1–5 of 1.1K

Authors

1.1K

  1. GS
    Goro Shimura

    Princeton University, United States

    18 publications · 4.4K citations

    16

    h-index

  2. WK
    Winfried Kohnen

    Heidelberg University, Germany

    17 publications · 1.4K citations

    13

    h-index

  3. JH
    Jan Hendrik Bruinier

    Technische Universität Darmstadt, Germany

    13 publications · 583 citations

    13

    h-index

  4. KB
    Kathrin Bringmann

    University of Cologne, Germany

    12 publications · 540 citations

    12

    h-index

  5. KO
    Ken Ono

    University of Wisconsin–Madison, United States

    13 publications · 881 citations

    11

    h-index

1–5 of 1.1K

Institutions

536

  1. Max Planck Institute for Mathematics

    Bonn, Germany

    19 h-index

    33 publications

    2K citations

  2. Princeton University

    Princeton, United States

    17 h-index

    25 publications

    2.1K citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    16 h-index

    30 publications

    907 citations

  4. University of Wisconsin–Madison

    Madison, United States

    15 h-index

    24 publications

    1.4K citations

  5. Max Planck Society

    Munich, Germany

    14 h-index

    16 publications

    1K citations

  6. Harvard University

    Cambridge, United States

    12 h-index

    18 publications

    2.1K citations

  7. University of Illinois Urbana-Champaign

    Urbana, United States

    12 h-index

    18 publications

    446 citations

  8. University of Cologne

    Cologne, Germany

    12 h-index

    19 publications

    925 citations

1–8 of 536

Venues

  1. Inventiones mathematicae

    43 publications · 5.8K citations

    39

    h-index

  2. Journal of Number Theory

    55 publications · 1.3K citations

    22

    h-index

  3. Duke Mathematical Journal

    DMJ · 36 publications · 1.7K citations

    22

    h-index

  4. Annals of Mathematics

    24 publications · 3.4K citations

    21

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 34 publications · 1.5K citations

    20

    h-index

1–5