Concepedia

Modular Polynomials

Modular Polynomials is a mathematical construct in algebraic number theory and modular arithmetic that consists of polynomials encoding isogeny relations between elliptic curves over finite fields, distinguished by their role in constructing and analyzing modular curves and associated class invariants.

606

Publications

25.4K

Citations

695

Authors

376

Institutions

Publications per year

2017–2026

37

Parents

Publications

606

Modular Elliptic Curves and Fermat's Last Theorem

Andrew Wiles · Annals of Mathematics · 1995 · 2.1K citations

, , +11

On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises

Christophe Breuil, Brian Conrad, Fred Diamond et al. · Journal of the American Mathematical Society · 2001 · 788 citations · Full text

, , +10

Multiple polylogarithms, cyclotomy and modular complexes

A. B. Goncharov · Mathematical Research Letters · 1998 · 720 citations · Full text

, , +8

Serre’s modularity conjecture (II)

Chandrashekhar Khare, Jean-Pierre Wintenberger · Inventiones mathematicae · 2009 · 352 citations

, , +9

p-adicL-functions andp-adic periods of modular forms

Ralph Greenberg, Glenn Stevens · Inventiones mathematicae · 1993 · 284 citations

, , +11

1–5 of 606

Authors

695

  1. KO
    Ken Ono

    University of Wisconsin–Madison, United States

    12 publications · 499 citations

    11

    h-index

  2. MN
    Morris Newman

    National Institute of Standards and Technology, United States

    10 publications · 522 citations

    10

    h-index

  3. YH
    Yuji Hasegawa

    TU Wien, Austria

    7 publications · 135 citations

    7

    h-index

  4. BC
    Bruce C. Berndt

    University of Illinois Urbana-Champaign, United States

    7 publications · 283 citations

    7

    h-index

  5. LE
    L. E. Dickson

    University of Chicago, United States

    7 publications · 343 citations

    7

    h-index

1–5 of 695

Institutions

376

  1. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    20 publications

    1.8K citations

  2. University of Wisconsin–Madison

    Madison, United States

    11 h-index

    15 publications

    813 citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    11 h-index

    15 publications

    585 citations

  4. Max Planck Institute for Mathematics

    Bonn, Germany

    10 h-index

    14 publications

    454 citations

  5. Princeton University

    Princeton, United States

    9 h-index

    9 publications

    618 citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    9 h-index

    10 publications

    306 citations

  7. Waseda University

    Tokyo, Japan

    9 h-index

    12 publications

    310 citations

  8. National University of Singapore

    Singapore, Singapore

    9 h-index

    12 publications

    291 citations

1–8 of 376

Venues

  1. Inventiones mathematicae

    21 publications · 2K citations

    19

    h-index

  2. Journal of Number Theory

    36 publications · 823 citations

    17

    h-index

  3. American Journal of Mathematics

    19 publications · 912 citations

    16

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 25 publications · 977 citations

    16

    h-index

  5. Mathematische Annalen

    28 publications · 875 citations

    16

    h-index

1–5