Articles by Keyword: 11n45

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  1. JOHN KNOPFMACHER, [ABSTRACT] ANALYTIC NUMBER THEORY, AND THE THEORY OF ARITHMETICAL FUNCTIONS

    JOHN KNOPFMACHER, [ABSTRACT] ANALYTIC NUMBER THEORY, AND THE THEORY OF ARITHMETICAL FUNCTIONS

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    Dedicated to the memory of John Knopfmacher (1937–1999)
  2. ABSTRACT NUMBER SYSTEMS AND LOGICAL LIMIT LAWS

    ABSTRACT NUMBER SYSTEMS AND LOGICAL LIMIT LAWS

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    This paper gives a brief overview of the developments that led to writing the book [5], Number Theoretic Density and Logical Limit Laws, simply called Density below, and describes the significant role played by the work and correspondence of John...
  3. ABOUT THE RADIUS OF CONVERGENCE OF THE ZETA FUNCTION OF AN ADDITIVE ARITHMETICAL SEMIGROUP

    ABOUT THE RADIUS OF CONVERGENCE OF THE ZETA FUNCTION OF AN ADDITIVE ARITHMETICAL SEMIGROUP

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    Let (G, ∂) be an additive arithmetical semigroup in John Knopfmacher's sense with f(n), g(n) denoting the number of all elements, prime elements of G with degree ∂ = n.
  4. ABOUT THE ABSCISSA OF CONVERGENCE OF THE ZETA FUNCTION OF A MULTIPLICATIVE ARITHMETICAL SEMIGROUP

    ABOUT THE ABSCISSA OF CONVERGENCE OF THE ZETA FUNCTION OF A MULTIPLICATIVE ARITHMETICAL SEMIGROUP

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    Let (G, || ″ ||) be a multiplicative arithmetical semigroup in John Knopf-macher's sense with F(x), G(x) denoting the number of all elements, prime elements of G with norm || ≤ x.