Concepedia

Reciprocity Laws

Reciprocity Laws is a class of theorems in algebraic number theory that relate the local arithmetic behavior of integers or more general algebraic objects at different primes—typically via explicit symmetries between residue, norm, or Frobenius symbols—and thereby govern the mutual solvability of congruences modulo those primes.

257

Publications

12.9K

Citations

322

Authors

208

Institutions

Publications per year

2017–2026

14

Parents

Children

Publications

257

Elementary Number Theory

Henry J. Ricardo, David Burton · The Two-Year College Mathematics Journal · 1979 · 975 citations

, , +8

The evolution of reciprocity in sizable groups

Robert Boyd, Peter J. Richerson · Journal of Theoretical Biology · 1988 · 722 citations

, , +11

The principle of reciprocity in signal strength calculations?A mathematical guide

D. I. Hoult · Concepts in Magnetic Resonance · 2000 · 535 citations

, , +10

Reciprocity: Weak or strong? What punishment experiments do (and do not) demonstrate

Francesco Guala · Behavioral and Brain Sciences · 2012 · 522 citations

, , +11

A tale of two defectors: the importance of standing for evolution of indirect reciprocity

Karthik Panchanathan, Robert Boyd · Journal of Theoretical Biology · 2003 · 394 citations

, , +11

1–5 of 257

Authors

322

  1. FP
    Fernando Pablos Romo

    Universidad de Salamanca, Spain

    4 publications · 103 citations

    4

    h-index

  2. JD
    J. D. Achenbach

    Northwestern University, United States

    3 publications · 86 citations

    3

    h-index

  3. SF
    Shinji Fukuhara

    Tsuda University, Japan

    3 publications · 36 citations

    3

    h-index

  4. RS
    R. S. Krishnan

    Indian Institute of Science Bangalore, India

    3 publications · 90 citations

    3

    h-index

  5. AT
    Adrianus T. de Hoop

    Delft University of Technology, Netherlands

    3 publications · 191 citations

    3

    h-index

1–5 of 322

Institutions

208

  1. Northwestern University

    Evanston, United States

    5 h-index

    5 publications

    242 citations

  2. Tsuda University

    Tokyo, Japan

    5 h-index

    7 publications

    90 citations

  3. Harvard University

    Cambridge, United States

    5 h-index

    6 publications

    268 citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    6 publications

    421 citations

  5. Universidad de Salamanca

    Salamanca, Spain

    4 h-index

    6 publications

    134 citations

  6. Indian Institute of Science Bangalore

    Bengaluru, India

    4 h-index

    4 publications

    103 citations

  7. Imperial College London

    London, United Kingdom

    4 h-index

    8 publications

    208 citations

  8. University of California, Los Angeles

    Los Angeles, United States

    4 h-index

    5 publications

    1.5K citations

1–8 of 208

Venues

  1. Pacific Journal of Mathematics

    9 publications · 222 citations

    9

    h-index

  2. arXiv (Cornell University)

    Repository · 9 publications · 219 citations

    9

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 7 publications · 386 citations

    7

    h-index

  4. Acta Arithmetica

    7 publications · 154 citations

    7

    h-index

  5. American Mathematical Monthly

    5 publications · 119 citations

    5

    h-index

1–5