Concepedia

Local L-functions

Local L-Functions is a meromorphic function associated with a local field and a complex character, serving as a fundamental analytic object in number theory that encodes arithmetic information of the field and differs from global L-functions by being defined solely at a single place or prime.

152

Publications

5.3K

Citations

179

Authors

112

Institutions

Publications per year

2017–2026

12

Parents

Publications

152

Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression

D. R. Heath‐Brown · Proceedings of the London Mathematical Society · 1992 · 232 citations · Full text

, , +8

Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}

John J. F. Fournier, James Stewart · Bulletin of the American Mathematical Society · 1985 · 203 citations · Full text

, , +5

Theta dichotomy for unitary groups

Michael Harris, Stephen S. Kudla, William Jay Sweet · Journal of the American Mathematical Society · 1996 · 187 citations · Full text

, , +10

Twisted endoscopy and reducibility of induced representations for p-adic groups

Freydoon Shahidi · Duke Mathematical Journal · 1992 · 160 citations

, , +9

Special values of anticyclotomic $L$-functions

Vinayak Vatsal · Duke Mathematical Journal · 2003 · 125 citations

, , +14

1–5 of 152

Authors

179

  1. KM
    Kohji Matsumoto

    Nagoya University, Japan

    4 publications · 97 citations

    4

    h-index

  2. FS
    Freydoon Shahidi

    Purdue University West Lafayette, United States

    4 publications · 286 citations

    4

    h-index

  3. HS
    H. Stärk

    Rensselaer Polytechnic Institute, United States

    4 publications · 224 citations

    4

    h-index

  4. LF
    Lei Fu

    Nankai University, China

    3 publications · 49 citations

    3

    h-index

  5. YŞ
    Yılmaz Şimşek

    Akdeniz University, Türkiye

    3 publications · 70 citations

    3

    h-index

1–5 of 179

Institutions

112

  1. The Ohio State University

    Columbus, United States

    4 h-index

    5 publications

    146 citations

  2. Columbia University

    New York, United States

    4 h-index

    5 publications

    103 citations

  3. Princeton University

    Princeton, United States

    4 h-index

    4 publications

    177 citations

  4. Max Planck Institute for Mathematics

    Bonn, Germany

    4 h-index

    4 publications

    75 citations

  5. University of Michigan

    Ann Arbor, United States

    3 h-index

    3 publications

    94 citations

  6. Academy of Mathematics and Systems Science

    Beijing, China

    3 h-index

    3 publications

    51 citations

  7. Nankai University

    Tianjin, China

    3 h-index

    3 publications

    49 citations

  8. Akdeniz University

    Antalya, Türkiye

    3 h-index

    3 publications

    70 citations

1–8 of 112

Venues

  1. Duke Mathematical Journal

    DMJ · 15 publications · 756 citations

    14

    h-index

  2. Journal of Number Theory

    8 publications · 209 citations

    8

    h-index

  3. American Journal of Mathematics

    8 publications · 260 citations

    8

    h-index

  4. Inventiones mathematicae

    8 publications · 335 citations

    8

    h-index

  5. arXiv (Cornell University)

    Repository · 7 publications · 101 citations

    7

    h-index

1–5