Abstract Analytic Number Theory (Dover Books on Mathematics) by John Knopfmacher

By John Knopfmacher

"This e-book is well-written and the bibliography excellent," declared Mathematical Reviews of John Knopfmacher's leading edge examine. The three-part therapy applies classical analytic quantity concept to a wide selection of mathematical topics no longer frequently handled in an arithmetical approach. the 1st half bargains with arithmetical semigroups and algebraic enumeration difficulties; half addresses arithmetical semigroups with analytical houses of classical sort; and the ultimate half explores analytical houses of different arithmetical systems.
Because of its cautious remedy of basic techniques and theorems, this article is offered to readers with a reasonable mathematical history, i.e., 3 years of university-level arithmetic. an in depth bibliography is equipped, and every bankruptcy encompasses a choice of references to suitable examine papers or books. The publication concludes with an appendix that provides numerous unsolved questions, with fascinating proposals for extra development.

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