By John Knopfmacher

*Mathematical Reviews*of John Knopfmacher's cutting edge research. The three-part remedy applies classical analytic quantity conception to a large choice of mathematical matters no longer often handled in an arithmetical means. the 1st half offers with arithmetical semigroups and algebraic enumeration difficulties; half addresses arithmetical semigroups with analytical homes of classical variety; and the ultimate half explores analytical houses of alternative arithmetical systems.

Because of its cautious therapy of primary innovations and theorems, this article is obtainable to readers with a reasonable mathematical historical past, i.e., 3 years of university-level arithmetic. an intensive bibliography is equipped, and every bankruptcy contains a collection of references to correct examine papers or books. The e-book concludes with an appendix that provides a number of unsolved questions, with attention-grabbing proposals for extra development.

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