Concepedia

P-adic Modular Forms

P-Adic Modular Forms is a mathematical construct in number theory that generalizes classical modular forms by taking values in p-adic fields and satisfying p-adic analytic conditions, thereby enabling the interpolation of modular forms across varying weights and levels within a p-adic framework.

463

Publications

19.1K

Citations

492

Authors

272

Institutions

Publications per year

2017–2026

61

Parents

Publications

463

Automorphic forms and representations

Choice Reviews Online · 1997 · 511 citations

, , +12

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

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

, , +12

Modular andp-adic cyclic codes

A.R. Calderbank, N. J. A. Sloane · Designs Codes and Cryptography · 1995 · 337 citations

, , +10

Theory of spherical functions on reductive algebraic groups over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -adic fields

Ichirō Satake · Publications mathématiques de l IHÉS · 1963 · 331 citations

, , +11

On p-adic mathematical physics

Andrei Yu. Khrennikov · P-Adic Numbers Ultrametric Analysis and Applications · 2009 · 297 citations · Full text

, , +6

1–5 of 463

Authors

492

  1. HD
    Henri Darmon

    McGill University, Canada

    12 publications · 497 citations

    12

    h-index

  2. DL
    David Loeffler

    University of Warwick, United Kingdom

    7 publications · 338 citations

    7

    h-index

  3. AI
    Adrian Iovita

    Concordia University, Canada

    6 publications · 250 citations

    6

    h-index

  4. AL
    Antonio Lei

    Université Laval, Canada

    6 publications · 222 citations

    6

    h-index

  5. MD
    Mladen Dimitrov

    Université de Lille, France

    6 publications · 94 citations

    6

    h-index

1–5 of 492

Institutions

272

  1. McGill University

    Montreal, Canada

    12 h-index

    15 publications

    505 citations

  2. University of Warwick

    Coventry, United Kingdom

    12 h-index

    15 publications

    579 citations

  3. Université Paris Cité

    Paris, France

    10 h-index

    11 publications

    380 citations

  4. University of California, Berkeley

    Berkeley, United States

    10 h-index

    11 publications

    1.5K citations

  5. University of Cambridge

    Cambridge, United Kingdom

    10 h-index

    10 publications

    459 citations

  6. Princeton University

    Princeton, United States

    8 h-index

    8 publications

    566 citations

  7. University of Milan

    Milan, Italy

    7 h-index

    9 publications

    279 citations

  8. Brandeis University

    Waltham, United States

    7 h-index

    7 publications

    143 citations

1–8 of 272

Venues

  1. Inventiones mathematicae

    34 publications · 3.4K citations

    28

    h-index

  2. Duke Mathematical Journal

    DMJ · 28 publications · 1.5K citations

    21

    h-index

  3. Mathematische Annalen

    22 publications · 832 citations

    16

    h-index

  4. Journal of Number Theory

    29 publications · 590 citations

    16

    h-index

  5. Annals of Mathematics

    15 publications · 1.2K citations

    14

    h-index

1–5