Concepedia

Mean Values Of Arithmetic Functions

Mean Values of Arithmetic Functions is a theoretical framework in analytic number theory that characterizes the asymptotic average behavior of arithmetic functions over the integers by analyzing their summatory functions and associated mean values in relation to density and distribution properties.

261

Publications

22.3K

Citations

320

Authors

193

Institutions

Publications per year

2017–2026

23

Parents

Publications

261

An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)

T. A. A. B. · The Mathematical Gazette · 1946 · 7.4K citations

, , +3

An introduction to the theory of numbers

Journal of the Franklin Institute · 1960 · 3.7K citations

, , +8

Analysis of cost data in randomized trials: an application of the non-parametric bootstrap

Julie Barber, Simon G. Thompson · Statistics in Medicine · 2000 · 705 citations · Full text

, , +17

An introduction to the theory of numbers

G. H. Hardy · Bulletin of the American Mathematical Society · 1929 · 607 citations · Full text

, , +8

The Difference Between Consecutive Primes, II

Roger C. Baker, G. Harman, J. Pintz · Proceedings of the London Mathematical Society · 2001 · 419 citations

, , +6

1–5 of 261

Authors

320

  1. YC
    Yu‐Ming Chu

    Huzhou University, China

    14 publications · 725 citations

    12

    h-index

  2. WQ
    Wei-Mao Qian

    Huzhou University, China

    5 publications · 162 citations

    5

    h-index

  3. PD
    P. D. T. A. Elliott

    University of Colorado Boulder, United States

    4 publications · 87 citations

    5

    h-index

  4. FQ
    Feng Qi

    Henan Polytechnic University, China

    4 publications · 120 citations

    4

    h-index

  5. JJ
    Justyna Jarczyk

    University of Zielona Góra, Poland

    4 publications · 105 citations

    4

    h-index

1–5 of 320

Institutions

193

  1. Huzhou University

    Huzhou, China

    9 h-index

    14 publications

    998 citations

  2. University of Illinois Urbana-Champaign

    Urbana, United States

    8 h-index

    12 publications

    492 citations

  3. University of Pecs

    Pécs, Hungary

    4 h-index

    3 publications

    95 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    6 publications

    238 citations

  5. Hungarian Academy of Sciences

    Budapest, Hungary

    4 h-index

    5 publications

    531 citations

  6. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    4 h-index

    5 publications

    130 citations

  7. University of Bristol

    Bristol, United Kingdom

    4 h-index

    7 publications

    154 citations

  8. University of the Witwatersrand

    Johannesburg, South Africa

    3 h-index

    2 publications

    36 citations

1–8 of 193

Venues

  1. American Mathematical Monthly

    12 publications · 701 citations

    11

    h-index

  2. Acta Arithmetica

    13 publications · 270 citations

    11

    h-index

  3. Journal of Number Theory

    9 publications · 263 citations

    9

    h-index

  4. 8

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 8 publications · 284 citations

    8

    h-index

1–5