Concepedia

Modular L-functions

Modular L-Function is a complex analytic function associated with a modular form, distinguished by its integral representation via the Mellin transform of the modular form and its satisfaction of a functional equation relating s to k−s, where k is the weight of the form.

277

Publications

10.9K

Citations

284

Authors

182

Institutions

Publications per year

2017–2026

27

Variants

Modular L-function

Parents

Publications

277

Higher regulators and values of L-functions

Alexander Beilinson · Journal of Mathematical Sciences · 1985 · 466 citations · Full text

, , +5

Sums involving the values at negative integers of L-functions of quadratic characters

Henri Cohen · Mathematische Annalen · 1975 · 425 citations

, , +6

Basic Hypergeometric Series and Applications.

Ranjan Roy, N. J. Fine · American Mathematical Monthly · 1990 · 334 citations

, , +9

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

Dinakar Ramakrishnan · Annals of Mathematics · 2000 · 234 citations

, , +14

The Cubic Moment of Central Values of Automorphic L-Functions

J. Brian Conrey, Henryk Iwaniec · Annals of Mathematics · 2000 · 228 citations

, , +9

1–5 of 277

Authors

284

  1. VB
    Valentin Blomer

    University of Göttingen, Germany

    9 publications · 453 citations

    9

    h-index

  2. KO
    Ken Ono

    University of Wisconsin–Madison, United States

    7 publications · 406 citations

    7

    h-index

  3. EK
    Emmanuel Kowalski

    ETH Zurich, Switzerland

    6 publications · 237 citations

    6

    h-index

  4. YY
    Yangbo Ye

    University of Iowa, United States

    6 publications · 147 citations

    6

    h-index

  5. DE
    David E. Rohrlich

    Rutgers, The State University of New Jersey, United States

    5 publications · 176 citations

    5

    h-index

1–5 of 284

Institutions

182

  1. Shandong University

    Jinan, China

    12 h-index

    17 publications

    444 citations

  2. Princeton University

    Princeton, United States

    12 h-index

    13 publications

    750 citations

  3. University of Göttingen

    Göttingen, Germany

    8 h-index

    10 publications

    653 citations

  4. University of Iowa

    Iowa City, United States

    7 h-index

    7 publications

    196 citations

  5. Institute for Advanced Study

    Princeton, United States

    6 h-index

    6 publications

    226 citations

  6. Rutgers, The State University of New Jersey

    New Brunswick, United States

    6 h-index

    7 publications

    367 citations

  7. Tokyo Institute of Technology

    Tokyo, Japan

    5 h-index

    5 publications

    142 citations

  8. Tata Institute of Fundamental Research

    Mumbai, India

    5 h-index

    8 publications

    217 citations

1–8 of 182

Venues

  1. Duke Mathematical Journal

    DMJ · 22 publications · 1.1K citations

    19

    h-index

  2. Inventiones mathematicae

    16 publications · 961 citations

    14

    h-index

  3. Journal of Number Theory

    24 publications · 483 citations

    14

    h-index

  4. Acta Arithmetica

    11 publications · 241 citations

    10

    h-index

  5. Mathematische Annalen

    10 publications · 682 citations

    10

    h-index

1–5