Concepedia

Subconvexity Bounds

Subconvexity Bounds is a type of analytic estimate in number theory that provides upper bounds for L-functions which are sharper than the convexity bound derived from the Phragmén–Lindelöf principle, thereby capturing finer arithmetic information about automorphic forms and their associated zeta functions.

60

Publications

2.4K

Citations

52

Authors

40

Institutions

Publications per year

2017–2026

20

Variants

Subconvexity Estimates

Parents

Publications

60

Sparse equidistribution problems, period bounds and subconvexity

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

, , +10

The subconvexity problem for Artin L -functions

William Duke, John Friedlander, H. Iwaniec · Inventiones mathematicae · 2002 · 166 citations

, , +8

Distribution of mass of holomorphic cusp forms

Valentin Blomer, Rizwanur Khan, Matthew P. Young · Duke Mathematical Journal · 2013 · 143 citations · Full text

, , +14

Bounds for $\rGL(3) \times \rGL(2)$ $\rL$-functions and $\rGL(3)$ $\rL$-functions

Xiaoqing Li · Annals of Mathematics · 2011 · 141 citations · Full text

, , +11

The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points

Philippe Michel · Annals of Mathematics · 2004 · 129 citations · Full text

, , +7

1–5 of 60

Authors

52

  1. VB
    Valentin Blomer

    University of Göttingen, Germany

    7 publications · 366 citations

    7

    h-index

  2. RH
    Roman Holowinsky

    The Ohio State University, United States

    5 publications · 86 citations

    5

    h-index

  3. RM
    Ritabrata Munshi

    Tata Institute of Fundamental Research, India

    4 publications · 130 citations

    4

    h-index

  4. PM
    Philippe Michel

    Université Claude Bernard Lyon 1, France

    4 publications · 274 citations

    4

    h-index

  5. PD
    Paul D. Nelson

    American Psychological Association, United States

    3 publications · 85 citations

    3

    h-index

1–5 of 52

Institutions

40

  1. University of Göttingen

    Göttingen, Germany

    5 h-index

    7 publications

    558 citations

  2. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    4 h-index

    4 publications

    165 citations

  3. The Ohio State University

    Columbus, United States

    4 h-index

    4 publications

    80 citations

  4. Shandong University

    Jinan, China

    4 h-index

    4 publications

    100 citations

  5. ETH Zurich

    Zurich, Switzerland

    3 h-index

    3 publications

    107 citations

  6. Texas A&M University

    College Station, United States

    3 h-index

    7 publications

    543 citations

  7. Stanford University

    Stanford, United States

    3 h-index

    3 publications

    234 citations

  8. University of Iowa

    Iowa City, United States

    3 h-index

    3 publications

    80 citations

1–8 of 40

Venues

  1. Duke Mathematical Journal

    DMJ · 6 publications · 287 citations

    6

    h-index

  2. Annals of Mathematics

    6 publications · 592 citations

    6

    h-index

  3. arXiv (Cornell University)

    Repository · 4 publications · 45 citations

    4

    h-index

  4. Compositio Mathematica

    3 publications · 38 citations

    3

    h-index

  5. Algebra & Number Theory

    ANT · 3 publications · 48 citations

    3

    h-index

1–5