Colloquium Publications 1927; 180 pp; softcover Volume: 7 ISBN10: 0821846019 ISBN13: 9780821846018 List Price: US$43 Member Price: US$34.40 Order Code: COLL/7
 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  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
