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Algorithmic Algebraic Number Theory
1989Now in paperback, this classic book is addressed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject.
Michael E. Pohst, Hans Zassenhaus
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Algorithms in algebraic number theory
ACM SIGSAM Bulletin, 1984Symbolic and algebraic computation has gained increasing importance and interest in algebra, algebraic number theory and algebraic geometry during the last years. For doing research in these fields the need for examples arises. The use of high speed computers makes it possible to provide large scale examples which in turn contribute to the progress of ...
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2002
Public-key cryptosystems are based on modular arithmetic. In this section, we summarize the concepts and results from algebra and number theory which are necessary for an understanding of the cryptographic methods. Textbooks on number theory and modular arithmetic include [HarWri79], [IreRos82], [Rose94], [Forster96] and [Rosen2000].
Hans Delfs, Helmut Knebl
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Public-key cryptosystems are based on modular arithmetic. In this section, we summarize the concepts and results from algebra and number theory which are necessary for an understanding of the cryptographic methods. Textbooks on number theory and modular arithmetic include [HarWri79], [IreRos82], [Rose94], [Forster96] and [Rosen2000].
Hans Delfs, Helmut Knebl
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1982
In this chapter we shall introduce the concept of an algebraic number field and develop its basic properties. Our treatment will be classical, developing directly only those aspects that will be needed in subsequent chapters. The study of these fields, and their interaction with other branches of mathematics forms a vast area of current research.
Kenneth Ireland, Michael Rosen
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In this chapter we shall introduce the concept of an algebraic number field and develop its basic properties. Our treatment will be classical, developing directly only those aspects that will be needed in subsequent chapters. The study of these fields, and their interaction with other branches of mathematics forms a vast area of current research.
Kenneth Ireland, Michael Rosen
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A Development of Associative Algebra and an Algebraic Theory of Numbers, IV
Mathematics Magazine, 1956H. S. Vandiver, M. W. Weaver
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Surface Charge Algebra in Gauge Theories and Thermodynamic Integrability
Journal of Mathematical Physics, 2008Geoffrey Compere, Glenn Barnich
exaly