Concepedia

Automorphic Periods

Automorphic Periods is a mathematical construct in the theory of automorphic forms that captures the integrals of automorphic functions over specified subgroups or cycles, thereby encoding deep arithmetic and spectral information through their relation to L-functions and functoriality.

87

Publications

3.6K

Citations

118

Authors

86

Institutions

Publications per year

2017–2026

8

Parents

Publications

87

Almost automorphic and almost periodic dynamics in skew-product semiflows

Wenxian Shen, Yingfei Yi · Memoirs of the American Mathematical Society · 1998 · 324 citations · Full text

, , +7

Periods of integrals on algebraic manifolds, III (Some global differential-geometric properties of the period mapping)

Phillip Griffiths · Publications mathématiques de l IHÉS · 1970 · 262 citations · Full text

, , +14

Periods and harmonic analysis on spherical varieties

Yiannis Sakellaridis, Akshay Venkatesh · Astérisque · 2018 · 191 citations

, , +14

Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

Phillip Griffiths · American Journal of Mathematics · 1968 · 191 citations

, , +11

Sparse equidistribution problems, period bounds and subconvexity

Akshay Venkatesh · Annals of Mathematics · 2010 · 171 citations · Full text

, , +10

1–5 of 87

Authors

118

  1. AR
    André Reznikov

    Bar-Ilan University, Israel

    4 publications · 114 citations

    4

    h-index

  2. GS
    Goro Shimura

    Princeton University, United States

    4 publications · 163 citations

    4

    h-index

  3. AI
    Atsushi Ichino

    Kyoto University, Japan

    3 publications · 218 citations

    3

    h-index

  4. WT
    Wee Teck Gan

    National University of Singapore, Singapore

    3 publications · 78 citations

    3

    h-index

  5. MH
    Michael Harris

    Institut de Mathématiques de Jussieu-Paris Rive Gauche, France

    3 publications · 78 citations

    3

    h-index

1–5 of 118

Institutions

86

  1. Princeton University

    Princeton, United States

    5 h-index

    5 publications

    209 citations

  2. Tel Aviv University

    Tel Aviv, Israel

    4 h-index

    5 publications

    143 citations

  3. Columbia University

    New York, United States

    4 h-index

    4 publications

    144 citations

  4. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    4 h-index

    4 publications

    100 citations

  5. Harvard University

    Cambridge, United States

    3 h-index

    3 publications

    63 citations

  6. University of Minnesota

    Minneapolis, United States

    3 h-index

    3 publications

    90 citations

  7. Osaka City University

    Osaka, Japan

    3 h-index

    3 publications

    224 citations

  8. Stanford University

    Stanford, United States

    3 h-index

    3 publications

    206 citations

1–8 of 86

Venues

  1. Duke Mathematical Journal

    DMJ · 6 publications · 196 citations

    6

    h-index

  2. American Journal of Mathematics

    4 publications · 314 citations

    4

    h-index

  3. Annals of Mathematics

    3 publications · 279 citations

    3

    h-index

  4. Israel Journal of Mathematics

    3 publications · 39 citations

    3

    h-index

  5. Inventiones mathematicae

    3 publications · 77 citations

    3

    h-index

1–5