**Colloquium Publications**

Volume: 7;
1927;
180 pp;
Softcover

MSC: Primary 11;

**Print ISBN: 978-0-8218-4601-8
Product Code: COLL/7**

List Price: $49.00

AMS Member Price: $39.20

MAA Member Price: $44.10

**Electronic ISBN: 978-1-4704-3157-0
Product Code: COLL/7.E**

List Price: $46.00

AMS Member Price: $36.80

MAA Member Price: $41.40

# Algebraic Arithmetic

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*Eric T. Bell*

The central topic of this book is the presentation of the author's principle of arithmetical paraphrases, which won him the Bôcher 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.

#### Readership

Graduate students and research mathematicians interested in number theory.

#### Table of Contents

# Table of Contents

## Algebraic Arithmetic

- Cover Cover11
- Title page i2
- Contents iii4
- Introduction 16
- Chapter I. Varieties of algebra useful in algebraic arithmetic 510
- Chapter II. The algebra {ℬ} of parity 3439
- Chapter III. The algebraic arithmetic of multiply periodic functions 6469
- Chapter IV. Applications of the algebras {𝒞,𝒟} 112117
- Chapter V. Arithmetical structure 160165
- Index 177182
- Back Cover Back Cover1186