Concepedia

Oscillation Of Arithmetic Functions

Oscillation of Arithmetic Functions is a mathematical phenomenon characterized by the irregular variation in the values of arithmetic functions over the integers, distinguished by its focus on the extent and frequency of deviations from average or asymptotic behavior in number-theoretic contexts.

23

Publications

742

Citations

45

Authors

24

Institutions

Publications per year

2017–2026

3

Parents

Publications

23

On the oscillation theory of 𝑓′′+𝐴𝑓=0 where 𝐴 is entire

Steven B. Bank, Ilpo Laine · Transactions of the American Mathematical Society · 1982 · 90 citations · Full text

, , +9

Low-Barrier Nanomagnets as p-Bits for Spin Logic

Rafatul Faria, Supriyo Datta · IEEE Magnetics Letters · 2017 · 85 citations · Full text

, , +15

The global attractivity of the rational difference equation $y_{n}=1+\frac{y_{n-k}}{y_{n-m}}$

Kenneth S. Berenhaut, John D. Foley, Stevo Stević · Proceedings of the American Mathematical Society · 2006 · 61 citations · Full text

, , +8

Arithmetic coding as a non-linear dynamical system

Nithin Nagaraj, Prabhakar G. Vaidya, Kishor G Bhat · Communications in Nonlinear Science and Numerical Simulation · 2007 · 57 citations · Full text

, , +12

Arithmetical representations of Brownian motion I

Willem L. Fouché · Journal of Symbolic Logic · 2000 · 45 citations

, , +14

1–5 of 23

Authors

45

  1. JK
    Jerzy Kaczorowski

    Adam Mickiewicz University in Poznań, Poland

    3 publications · 58 citations

    3

    h-index

  2. JP
    J. Pintz

    Hungarian Academy of Sciences, Hungary

    2 publications · 42 citations

    2

    h-index

  3. HJ
    Helong Jiang

    Chinese Academy of Sciences, China

    1 publications · 20 citations

    1

    h-index

  4. WL
    Willem L. Fouché

    University of South Africa, South Africa

    1 publications · 45 citations

    1

    h-index

  5. TY
    T. Yu

    Southeast University, China

    1 publications · 20 citations

    1

    h-index

1–5 of 45

Institutions

24

  1. Adam Mickiewicz University in Poznań

    Poznan, Poland

    3 h-index

    4 publications

    60 citations

  2. Hungarian Academy of Sciences

    Budapest, Hungary

    2 h-index

    2 publications

    42 citations

  3. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    2 h-index

    2 publications

    42 citations

  4. University of California, Santa Barbara

    Santa Barbara, United States

    1 h-index

    1 publications

    16 citations

  5. King's College London

    London, United Kingdom

    1 h-index

    1 publications

    41 citations

  6. National Institute of Advanced Studies

    Bengaluru, India

    1 h-index

    3 publications

    171 citations

  7. University of Washington

    Seattle, United States

    1 h-index

    1 publications

    16 citations

  8. Chinese Academy of Sciences

    Beijing, China

    1 h-index

    1 publications

    20 citations

1–8 of 24

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 3 publications · 123 citations

    3

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 3 publications · 125 citations

    3

    h-index

  3. 2

    h-index

  4. IEEE Magnetics Letters

    1 publications · 85 citations

    1

    h-index

  5. 1

    h-index

1–5