Synopsis
A concentrated introduction to three major areas of number theory: quadratic forms; Dirichlet's density theorem; and modular forms. The text begins with fundamental concepts and progresses to more advanced problems.
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Review
“The book is a showcase of how some results in classical number theory (the Arithmetic of the title) can be derived quickly using abstract algebra. ... There are a reasonable number of worked examples, and they are very well-chosen. ... this book will expand your horizons, but you should already have a good knowledge of algebra and of classical number theory before you begin.” (Allen Stenger, MAA Reviews, maa.org, July, 2016)
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A course in arithmetic (Graduate texts in mathematics)
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A course in arithmetic (Graduate texts in mathematics)
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