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
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“Alice grown lazy, mammoth but not fat,
Declines upon her lost and twilight age;
Above in the dozing leaves the grinning cat
Quivers forever with his abstract rage....”
—Allen Tate (1899–1979)
““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)
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“The human species, according to the best theory I can form of it, is composed of two distinct races, the men who borrow and the men who lend.”
—Charles Lamb (1775–1834)