Concepedia

Gauss Sums

Gauss Sums is a mathematical construct in number theory defined as a finite sum of roots of unity weighted by multiplicative characters over a finite field, distinguished by its central role in the proof and generalization of quadratic reciprocity and its connection to L-functions and Fourier analysis on finite abelian groups.

214

Publications

8.9K

Citations

301

Authors

187

Institutions

Publications per year

2017–2026

29

Parents

Publications

214

Self-Linking and the Gauss Integral in Higher Dimensions

James H. White · American Journal of Mathematics · 1969 · 679 citations

, , +12

Numbers of solutions of equations in finite fields

André Weil · Bulletin of the American Mathematical Society · 1949 · 521 citations · Full text

, , +12

Integer, fractional and fractal Talbot effects

Marsha Berry, Susanne Klein · Journal of Modern Optics · 1996 · 381 citations

, , +13

Collected papers of Srinivasa Ramanujan

Notes and Queries · 1928 · 242 citations

, , +15

The determination of Gauss sums

Bruce C. Berndt, Ronald J. Evans · Bulletin of the American Mathematical Society · 1981 · 204 citations · Full text

, , +4

1–5 of 214

Authors

301

  1. WP
    Wolfgang P. Schleich

    Universität Ulm, Germany

    9 publications · 361 citations

    9

    h-index

  2. RJ
    Ronald J. Evans

    University of California San Diego, United States

    7 publications · 435 citations

    7

    h-index

  3. WZ
    Wenpeng Zhang

    Northwest University, China

    7 publications · 186 citations

    7

    h-index

  4. BG
    B. Girard

    Université Toulouse III - Paul Sabatier, France

    7 publications · 205 citations

    7

    h-index

  5. DS
    Dae San Kim

    Sogang University, South Korea

    6 publications · 115 citations

    6

    h-index

1–5 of 301

Institutions

187

  1. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    21 publications

    1.1K citations

  2. Universität Ulm

    Ulm, Germany

    10 h-index

    35 publications

    903 citations

  3. Université Toulouse III - Paul Sabatier

    Toulouse, France

    9 h-index

    13 publications

    466 citations

  4. Northwest University

    Xi'an, China

    9 h-index

    17 publications

    365 citations

  5. Tsinghua University

    Beijing, China

    6 h-index

    10 publications

    251 citations

  6. University of California San Diego

    San Diego, United States

    6 h-index

    11 publications

    626 citations

  7. Laboratoire Collisions Agrégats Réactivité

    Toulouse, France

    6 h-index

    10 publications

    405 citations

  8. Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes

    Toulouse, France

    6 h-index

    10 publications

    405 citations

1–8 of 187

Venues

  1. Acta Arithmetica

    8 publications · 199 citations

    8

    h-index

  2. Journal of Number Theory

    8 publications · 246 citations

    8

    h-index

  3. IEEE Transactions on Information Theory

    7 publications · 265 citations

    7

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 6 publications · 79 citations

    6

    h-index

  5. Annals of Mathematics

    5 publications · 433 citations

    5

    h-index

1–5