Concepedia

Rankin-selberg Convolution

Rankin-Selberg Convolution is a method in the theory of automorphic forms that constructs an integral representation of the L-function associated to two automorphic representations by convolving their Fourier coefficients with an Eisenstein series, thereby distinguishing itself from other L-function constructions through its use of period integrals and spectral decomposition on arithmetic quotients.

29

Publications

1.7K

Citations

40

Authors

33

Institutions

Publications per year

2017–2026

3

Variants

Rankin-selberg Method

Parents

Publications

29

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

Dinakar Ramakrishnan · Annals of Mathematics · 2000 · 234 citations

, , +14

Rankin-Selberg L-functions in the level aspect

Emmanuel Kowalski, Philippe Michel, Jeffrey M. VanderKam · Duke Mathematical Journal · 2002 · 220 citations · Full text

, , +11

Heights of Heegner Points on Shimura Curves

Shou-Wu Zhang · Annals of Mathematics · 2001 · 189 citations

, , +13

The Rankin-Selberg method for automorphic functions which are not of rapid decay

Zagier Don · Institutional Repositories DataBase (IRDB) · 1982 · 163 citations · Full text

, , +5

Estimates for Rankin–Selberg L-Functions and Quantum Unique Ergodicity

Peter Sarnak · Journal of Functional Analysis · 2001 · 154 citations

, , +10

1–5 of 29

Authors

40

  1. DB
    Daniel Bump

    Stanford University, United States

    3 publications · 64 citations

    3

    h-index

  2. DL
    David Loeffler

    University of Warwick, United Kingdom

    3 publications · 150 citations

    3

    h-index

  3. SL
    Sarah Livia Zerbes

    University of Warwick, United Kingdom

    2 publications · 133 citations

    2

    h-index

  4. SZ
    Shou-Wu Zhang

    Columbia University, United States

    2 publications · 201 citations

    2

    h-index

  5. PM
    Philippe Michel

    Université Claude Bernard Lyon 1, France

    2 publications · 264 citations

    2

    h-index

1–5 of 40

Institutions

33

  1. University of Warwick

    Coventry, United Kingdom

    4 h-index

    6 publications

    290 citations

  2. Tel Aviv University

    Tel Aviv, Israel

    3 h-index

    3 publications

    45 citations

  3. University College London

    London, United Kingdom

    3 h-index

    5 publications

    273 citations

  4. McGill University

    Montreal, Canada

    2 h-index

    2 publications

    105 citations

  5. University of Chicago

    Chicago, United States

    2 h-index

    2 publications

    82 citations

  6. Boston College

    Boston, United States

    2 h-index

    2 publications

    32 citations

  7. Institute for Advanced Study

    Princeton, United States

    2 h-index

    4 publications

    814 citations

  8. Stanford University

    Stanford, United States

    2 h-index

    4 publications

    71 citations

1–8 of 33

Venues

  1. Annals of Mathematics

    4 publications · 574 citations

    4

    h-index

  2. American Journal of Mathematics

    3 publications · 104 citations

    3

    h-index

  3. Compositio Mathematica

    2 publications · 53 citations

    2

    h-index

  4. International Mathematics Research Notices

    IMRN · 2 publications · 70 citations

    2

    h-index

  5. Algebra & Number Theory

    ANT · 1 publications · 17 citations

    1

    h-index

1–5