Number Theory Arising From Finite Fields: Analytic And Probabilistic Theory

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Author(s): John Knopfmacher, Wen-Bin Zhang
Series: Lecture Notes in Pure and Applied Mathematics
Year: 2001

Language: English
Pages: 418

PREFACE......Page 11
CONTENTS......Page 13
INTRODUCTION......Page 15
ADDITIVE ARITHMETICAL SEMIGROUPS AND AXIOM A#......Page 19
ASYMPTOTIC ENUMERATION AND MORE REFINED ESTIMATES......Page 63
ABSTRACT PRIME NUMBER THEOREMS (I)......Page 85
MORE APPLICATIONS OF PRIME COUNTING......Page 177
ABSTRACT PRIME NUMBER THEOREMS (II)......Page 203
GENERAL MEAN-VALUE THEOREMS......Page 241
BASICS OF PROBABILISTIC NUMBER THEORY FOR SEMIGROUPS......Page 296
SURVEY OF SOME FURTHER TOPICS......Page 367
BIBLIOGRAPHY......Page 399
NOTATIONS......Page 411
INDEX......Page 415