Topics from the theory of numbers
著者
書誌事項
Topics from the theory of numbers
（Modern Birkhäuser classics）
Birkhäuser, c2009
2nd ed
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注記
"Reprint of the 1984 second edition"
Includes bibliographies and indexes
内容説明・目次
内容説明
Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald's classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.
目次
Introduction, Historical Background, and Notations.- and Historical Background.- Introductory Remarks and Notations.- Elementary Number Theory.- Divisibility.- Congruences.- Quadratic Residues.- Arithmetical Functions.- The Theory of Partitions.- Topics from Analytic and Algebraic Number Theory.- The Distribution of Primes and the Riemann Zeta Function.- The Prime Number Theorem.- The Arithmetic of Number Fields.- Ideal Theory.- Primes in Arithmetic Progressions.- Diophantine Equations.- Fermat's Equation.
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