Concepedia

Unit Group Computation

Unit Group Computation is the algorithmic determination of a complete set of fundamental units in the ring of integers of an algebraic number field, forming a basis for its multiplicative unit group under Dirichlet's Unit Theorem.

21

Publications

688

Citations

40

Authors

35

Institutions

Publications per year

2017–2026

0

Parents

Publications

21

Finding Pareto optimal groups

Jinfei Liu, Li Xiong, Jian Pei et al. · Proceedings of the VLDB Endowment · 2015 · 80 citations

, , +13

Fast quantum algorithms for computing the unit group and class group of a number field

Sean Hallgren · 2005 · 78 citations

, , +13

Efficient quantum algorithms for computing class groups and solving the principal ideal problem in arbitrary degree number fields

Jean‐François Biasse, Fang Song · 2015 · 76 citations

, , +16

A quantum algorithm for computing the unit group of an arbitrary degree number field

Kirsten Eisenträger, Sean Hallgren, Alexei Kitaev et al. · 2014 · 64 citations

, , +17

Units and class groups in cyclotomic function fields

Steven Galovich, Michael Rosen · Journal of Number Theory · 1982 · 45 citations

, , +8

1–5 of 21

Authors

40

  1. JB
    Jean‐François Biasse

    University of South Florida, United States

    3 publications · 134 citations

    3

    h-index

  2. SH
    Sean Hallgren

    Pennsylvania State University, United States

    2 publications · 142 citations

    2

    h-index

  3. CF
    Claus Fieker

    University of Kaiserslautern, Germany

    2 publications · 58 citations

    2

    h-index

  4. AR
    Arthur R. Schmidt

    University of Illinois Urbana-Champaign, United States

    1 publications · 44 citations

    1

    h-index

  5. JP
    Jian Pei

    Simon Fraser University, Canada

    1 publications · 80 citations

    1

    h-index

1–5 of 40

Institutions

35

  1. University of Calgary

    Calgary, Canada

    2 h-index

    2 publications

    58 citations

  2. University of Kaiserslautern

    Kaiserslautern, Germany

    2 h-index

    2 publications

    58 citations

  3. University of California, Santa Barbara

    Santa Barbara, United States

    1 h-index

    1 publications

    64 citations

  4. Laboratoire Lorrain de Recherche en Informatique et ses Applications

    Nancy, France

    1 h-index

    1 publications

    27 citations

  5. University of Fredericton

    Fredericton, Canada

    1 h-index

    1 publications

    12 citations

  6. University of Science and Technology of China

    Hefei, China

    1 h-index

    2 publications

    42 citations

  7. Memorial University of Newfoundland

    St. John's, Canada

    1 h-index

    1 publications

    15 citations

  8. University of Waterloo

    Waterloo, Canada

    1 h-index

    1 publications

    64 citations

1–8 of 35

Venues

  1. Journal of Algebra

    2 publications · 41 citations

    2

    h-index

  2. Mathematics of Computation

    MCOM · 2 publications · 42 citations

    2

    h-index

  3. Glasgow Mathematical Journal

    1 publications · 15 citations

    1

    h-index

  4. Archiv der Mathematik

    AdM · 1 publications · 12 citations

    1

    h-index

  5. LMS Journal of Computation and Mathematics

    1 publications · 42 citations

    1

    h-index

1–5