Concepedia

Arithmetic Functions

An Arithmetic Function is a complex-valued function defined on the set of positive integers that encodes arithmetic properties of integers and is distinguished by its invariance under certain number-theoretic operations such as convolution.

3K

Publications

137.5K

Citations

3.7K

Authors

1.4K

Institutions

Publications per year

2017–2026

277

Variants

Arithmetical Functions

Parents

Children

Publications

3K

The Arithmetic Optimization Algorithm

Laith Abualigah, Ali Diabat, Seyedali Mirjalili et al. · Computer Methods in Applied Mechanics and Engineering · 2021 · 2.8K citations · Full text

, , +14

Modular multiplication without trial division

Peter L. Montgomery · Mathematics of Computation · 1985 · 2.4K citations

, , +9

Introduction to the Arithmetic Theory of Automorphic Functions

Marvin Tretkoff, Goro Shimura · Mathematics of Computation · 1972 · 2.1K citations

, , +8

An Introduction to the Theory of Numbers.

W. J. LeVeque, Ivan Niven, Herbert S. Zuckerman · American Mathematical Monthly · 1961 · 2K citations

, , +8

A Suggestion for a Fast Multiplier

Christopher S. Wallace · IEEE Transactions on Electronic Computers · 1964 · 1.8K citations

, , +8

1–5 of 3K

Authors

3.7K

  1. JM
    Jean‐Michel Muller

    Centre National de la Recherche Scientifique, France

    21 publications · 646 citations

    16

    h-index

  2. FD
    Florent de Dinechin

    École Normale Supérieure de Lyon, France

    15 publications · 493 citations

    15

    h-index

  3. YŞ
    Yılmaz Şimşek

    Akdeniz University, Türkiye

    17 publications · 804 citations

    14

    h-index

  4. PE
    Paul Erdős

    Hungarian Academy of Sciences, Hungary

    16 publications · 418 citations

    13

    h-index

  5. HM
    H. M. Srivastava

    University of Victoria, Canada

    13 publications · 523 citations

    13

    h-index

1–5 of 3.7K

Institutions

1.4K

  1. Centre National de la Recherche Scientifique

    Paris, France

    30 h-index

    128 publications

    4.2K citations

  2. École Normale Supérieure de Lyon

    Lyon, France

    21 h-index

    70 publications

    2.2K citations

  3. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    21 h-index

    60 publications

    1.9K citations

  4. University of Toronto

    Toronto, Canada

    21 h-index

    40 publications

    1.8K citations

  5. University of California, Los Angeles

    Los Angeles, United States

    20 h-index

    35 publications

    1.6K citations

  6. IBM (United States)

    Armonk, United States

    19 h-index

    34 publications

    2.4K citations

  7. University of Illinois Urbana-Champaign

    Urbana, United States

    19 h-index

    42 publications

    1.5K citations

  8. Hungarian Academy of Sciences

    Budapest, Hungary

    18 h-index

    35 publications

    1.1K citations

1–8 of 1.4K

Venues

  1. IEEE Transactions on Computers

    119 publications · 5.4K citations

    43

    h-index

  2. Journal of Number Theory

    95 publications · 2.3K citations

    29

    h-index

  3. Acta Arithmetica

    99 publications · 3.5K citations

    29

    h-index

  4. Pacific Journal of Mathematics

    43 publications · 1.4K citations

    27

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 63 publications · 2.4K citations

    27

    h-index

1–5