Abstract Analytic Number Theory

Abstract analytic number theory is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the emphasis is on abstract asymptotic distribution results. The theory was invented and developed by John Knopfmacher in the early 1970s.

Read more about Abstract Analytic Number Theory:  Arithmetic Semigroups, Examples, Methods and Techniques

Famous quotes containing the words abstract, analytic, number and/or theory:

    “The Germans are always too late. They are late, like music, which is always the last of the arts to express a world condition,—when that world condition is already in its final stages. They are abstract and mystical.”
    —Thomas Mann (1875–1955)

    ““You, that have not lived in thought but deed,
    Can have the purity of a natural force,
    But I, whose virtues are the definitions
    Of the analytic mind, can neither close
    The eye of the mind nor keep my tongue from speech.””
    —William Butler Yeats (1865–1939)

    “Can it be, that the Greek grammarians invented their dual number for the particular benefit of twins?”
    —Herman Melville (1819–1891)

    “every subjective phenomenon is essentially connected with a single point of view, and it seems inevitable that an objective, physical theory will abandon that point of view.”
    —Thomas Nagel (b. 1938)