Concepedia

Wintner Theorem

Wintner Theorem is a foundational result in the analytic theory of arithmetic functions that establishes conditions under which the mean value of a multiplicative function converges, specifically by linking the convergence of its summatory function to the behavior of its Dirichlet series on the line Re(s) = 1.

27

Publications

579

Citations

37

Authors

26

Institutions

Publications per year

2017–2026

1

Parents

Publications

27

Integral Averages and the Oscillation of Second Order Ordinary Differential Equations

G. J. Butler · SIAM Journal on Mathematical Analysis · 1980 · 74 citations

, , +9

On Uniform Convergence in the Wiener-Wintner Theorem

E. Arthur Robinson · Journal of the London Mathematical Society · 1994 · 43 citations

, , +11

On the Local Uniqueness of Geodesics

Philip Hartman · American Journal of Mathematics · 1950 · 39 citations

, , +9

Hartman–Wintner Type Lemma, Oscillation, and Conjugacy Criteria for Half-Linear Difference Equations

P. Řehák · Journal of Mathematical Analysis and Applications · 2000 · 34 citations

, , +9

Additive and Multiplicative Functions on Shifted Primes

Adolf Hildebrand · Proceedings of the London Mathematical Society · 1989 · 29 citations

, , +7

1–5 of 27

Authors

37

  1. CA
    Charles A. Swanson

    University of British Columbia, Canada

    2 publications · 49 citations

    2

    h-index

  2. GJ
    G. J. Butler

    University of Alberta, Canada

    1 publications · 74 citations

    1

    h-index

  3. AH
    Adolf Hildebrand

    University of Illinois Urbana-Champaign, United States

    1 publications · 29 citations

    1

    h-index

  4. WW
    W.J. Walker

    University of Auckland, New Zealand

    1 publications · 11 citations

    1

    h-index

  5. WF
    William F. Trench

    Trinity University, United States

    1 publications · 14 citations

    1

    h-index

1–5 of 37

Institutions

26

  1. Leipzig University

    Leipzig, Germany

    2 h-index

    2 publications

    22 citations

  2. Fudan University

    Shanghai, China

    1 h-index

    1 publications

    23 citations

  3. George Washington University

    Washington, United States

    1 h-index

    1 publications

    43 citations

  4. Central University of Venezuela

    Caracas, Venezuela

    1 h-index

    1 publications

    23 citations

  5. University of Colorado System

    Boulder, United States

    1 h-index

    2 publications

    28 citations

  6. University of Colorado Boulder

    Boulder, United States

    1 h-index

    2 publications

    28 citations

  7. National College of Technology, Wakayama College

    Wakayama, Japan

    1 h-index

    1 publications

    14 citations

  8. Coastal Carolina University

    Conway, United States

    1 h-index

    1 publications

    20 citations

1–8 of 26

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 6 publications · 110 citations

    6

    h-index

  2. Ergodic Theory and Dynamical Systems

    4 publications · 61 citations

    4

    h-index

  3. 2

    h-index

  4. Journal of the London Mathematical Society

    2 publications · 66 citations

    2

    h-index

  5. Acta Mathematica

    1 publications · 14 citations

    1

    h-index

1–5