Elementary Number Theory
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Number theory is a branch of pure mathematics that primarily delves into the exploration of integers and integer-valued functions. Its scope encompasses the study of prime numbers and the properties of objects constructed from integers. Number theory comprises various sub-disciplines, with key subdivisions including algebraic number theory, Diophantine geometry, analytical number theory. Analytical number theory tackles problems such as the Riemann hypothesis, the Goldbach conjecture, the prime number theorem, the Waring problem. Additionally, subfields such as probabilistic number theory, ari...
Number theory is a branch of pure mathematics that primarily delves into the exploration of integers and integer-valued functions. Its scope encompasses the study of prime numbers and the properties of objects constructed from integers. Number theory comprises various sub-disciplines, with key subdivisions including algebraic number theory, Diophantine geometry, analytical number theory. Analytical number theory tackles problems such as the Riemann hypothesis, the Goldbach conjecture, the prime number theorem, the Waring problem. Additionally, subfields such as probabilistic number theory, arithmetic combinatorics, and computational number theory contribute to the diverse landscape of number theory. This book aims to provide deep knowledge about the subject of number theory. It will also provide interesting topics for research which interested readers can take up. Those in search of information to further their knowledge will be greatly assisted by this textbook.
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