Concepedia

Computing Zeta Functions

Computing Zeta Functions is a computational method in Computational Number Theory that specifically enables the algorithmic evaluation of zeta functions associated with algebraic, arithmetic, or geometric objects by leveraging analytic and algebraic techniques to determine their values, zeros, or functional properties.

180

Publications

7.1K

Citations

237

Authors

167

Institutions

Publications per year

2017–2026

10

Parents

Publications

180

Pi and the AGM--A Study of Analytic Number Theory and Computational Complexity.

Bruce C. Berndt, Jonathan M. Borwein, Peter Borwein · Mathematics of Computation · 1988 · 439 citations

, , +12

Zeta Functions of Finite Graphs and Coverings

H. Stärk, Audrey Terras · Advances in Mathematics · 1996 · 248 citations

, , +11

Zeta functions of finite graphs and coverings, III

Audrey Terras, H. Stärk · Advances in Mathematics · 2006 · 235 citations

, , +12

On evaluation of zeta functions of totally real algebraic number fields at non-positive integers

Takuro Shintani · Medical Entomology and Zoology · 1976 · 222 citations

, , +12

Construction of Class Fields and Zeta Functions of Algebraic Curves

Goro Shimura · Annals of Mathematics · 1967 · 171 citations

, , +14

1–5 of 180

Authors

237

  1. JM
    Jonathan M. Borwein

    Dalhousie University, Canada

    7 publications · 714 citations

    7

    h-index

  2. AG
    Alan G. B. Lauder

    University of Oxford, United Kingdom

    6 publications · 198 citations

    6

    h-index

  3. IS
    Iwao Sato

    National Institute of Technology, Oyama College, Japan

    5 publications · 107 citations

    5

    h-index

  4. DH
    David H. Bailey

    Lawrence Berkeley National Laboratory, United States

    4 publications · 90 citations

    4

    h-index

  5. DW
    Daqing Wan

    University of California, Irvine, United States

    4 publications · 99 citations

    4

    h-index

1–5 of 237

Institutions

167

  1. National Institute of Technology, Oyama College

    Oyama, Japan

    5 h-index

    5 publications

    107 citations

  2. University of Bristol

    Bristol, United Kingdom

    4 h-index

    5 publications

    304 citations

  3. KU Leuven

    Leuven, Belgium

    4 h-index

    7 publications

    215 citations

  4. Lawrence Berkeley National Laboratory

    Berkeley, United States

    4 h-index

    4 publications

    90 citations

  5. University of Newcastle Australia

    Newcastle, Australia

    4 h-index

    4 publications

    77 citations

  6. Meisei University

    Tokyo, Japan

    3 h-index

    3 publications

    81 citations

  7. University of Illinois Urbana-Champaign

    Urbana, United States

    3 h-index

    4 publications

    94 citations

  8. Reed College

    Portland, United States

    3 h-index

    3 publications

    225 citations

1–8 of 167

Venues

  1. Mathematics of Computation

    MCOM · 18 publications · 867 citations

    14

    h-index

  2. Annals of Mathematics

    6 publications · 485 citations

    6

    h-index

  3. arXiv (Cornell University)

    Repository · 5 publications · 83 citations

    5

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 5 publications · 235 citations

    5

    h-index

  5. ArXiv.org

    Repository · 5 publications · 85 citations

    5

    h-index

1–5