Analytic Number Theory for Undergraduates
Heng Huat Chan
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This book is written for undergraduates who wish to learn some basic results in analytic number theory. It covers topics such as Bertrand's Postulate, the Prime Number Theorem and Dirichlet's Theorem of primes in arithmetic progression.
The materials in this book are based on A Hildebrand's 1991 lectures delivered at the University of Illinois at Urbana-Champaign and the author's course conducted at the National University of Singapore from 2001 to 2008.
Contents:Facts about IntegersArithmetical FunctionsAverages of Arithmetical FunctionsElementary Results on the Distribution of PrimesThe Prime Number TheoremDirichlet SeriesPrimes in Arithmetic Progression
Readership: Final-year undergraduates and first-year graduates with basic knowledge of complex analysis and abstract algebra; academics.