Concepedia

Remainder Sequences

Remainder Sequences is a mathematical construct defined as the ordered sequence of non-negative integers generated iteratively by applying the division algorithm in the Euclidean Algorithm, where each term is the remainder resulting from the division of the preceding two terms, terminating upon reaching zero.

42

Publications

3.5K

Citations

69

Authors

38

Institutions

Publications per year

2017–2026

1

Variants

Euclidean Remainder Sequences

Parents

Publications

42

Homogenization and Two-Scale Convergence

Grégoire Allaire · SIAM Journal on Mathematical Analysis · 1992 · 2.3K citations · Full text

, , +11

Subresultants and Reduced Polynomial Remainder Sequences

George E. Collins · Journal of the ACM · 1967 · 330 citations

, , +9

A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator

Thomas Bartsch, Tobias Weth, Michel Willem · Calculus of Variations and Partial Differential Equations · 2003 · 108 citations

, , +9

Generation of binary sequences with controllable complexity

Erik Groth · IEEE Transactions on Information Theory · 1971 · 80 citations

, , +9

Polynomial evaluation via the division algorithm the fast Fourier transform revisited

Charles M. Fiduccia · 1972 · 64 citations · Full text

, , +17

1–5 of 42

Authors

69

  1. GB
    Gerald B. Folland

    University of Washington, United States

    2 publications · 33 citations

    2

    h-index

  2. MK
    Mutsuko K. Sasaki

    RIKEN, Japan

    2 publications · 35 citations

    2

    h-index

  3. GE
    George E. Collins

    University of Wisconsin–Madison, United States

    2 publications · 370 citations

    2

    h-index

  4. SC
    S. Cabay

    University of Alberta, Canada

    1 publications · 13 citations

    1

    h-index

  5. GE
    G. E. Collins

    1 publications · 25 citations

    1

    h-index

1–5 of 69

Institutions

38

  1. IBM (United States)

    Armonk, United States

    2 h-index

    3 publications

    80 citations

  2. University of Alberta

    Edmonton, Canada

    2 h-index

    2 publications

    34 citations

  3. University of Washington

    Seattle, United States

    2 h-index

    2 publications

    33 citations

  4. IBM Research - Thomas J. Watson Research Center

    Yorktown Heights, United States

    2 h-index

    2 publications

    370 citations

  5. University of Wuppertal

    Wuppertal, Germany

    1 h-index

    1 publications

    15 citations

  6. University of Cologne

    Cologne, Germany

    1 h-index

    2 publications

    40 citations

  7. University of Waterloo

    Waterloo, Canada

    1 h-index

    1 publications

    21 citations

  8. University of Aberdeen

    Aberdeen, United Kingdom

    1 h-index

    1 publications

    12 citations

1–8 of 38

Venues

  1. American Mathematical Monthly

    5 publications · 110 citations

    5

    h-index

  2. Focus on learning problems in mathematics

    2 publications · 52 citations

    2

    h-index

  3. SIAM Journal on Computing

    2 publications · 48 citations

    2

    h-index

  4. Journal of Symbolic Computation

    2 publications · 33 citations

    2

    h-index

  5. eCommons (Cornell University)

    Repository · 1 publications · 17 citations

    1

    h-index

1–5