Algebraic arithmetic
Author(s)
Bibliographic Information
Algebraic arithmetic
（Colloquium publications / American Mathematical Society, v. 7）
American Mathematical Society, 2008
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Note
Reprint. Originally published: New York : American Mathematical Society, 1927
Includes index
Description and Table of Contents
Description
The central topic of this book is the presentation of the author's principle of arithmetical paraphrases, which won him the Bocher Prize in 1924. This general principle served to unify and extend many isolated results in the theory of numbers. The author successfully provides a systematic attempt to find a unified theory for each of various classes of related important problems in the theory of numbers, including its interrelations with algebra and analysis. This book will be of interest to advanced students in various branches of mathematics, including number theory, abstract algebra, elliptic and theta functions, Bernoulli numbers and functions, and the foundations of mathematics.
Table of Contents
Introduction Varieties of algebra useful in algebraic arithmetic The algebra $\mathcal{B}$ of parity The algebraic arithmetic of multiply periodic functions Applications of the algebras $\mathcal{C, D}$ Arithmetical structure Index.
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