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A computational introduction to number theory and algebra [PDF]

Mathematics of Computation, 2006
Principles of Applied Mathematics provides a comprehensive look at how classical methods are used in many fields and contexts. Updated to reflect developments of the last twenty years, it shows how two areas of classical applied mathematics spectral ...
Victor Shoup
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Function Theories in Cayley-Dickson Algebras and Number Theory [PDF]

Milan Journal of Mathematics, 2021
In the recent years a lot of effort has been made to extend the theory of hyperholomorphic functions from the setting of associative Clifford algebras to non-associative Cayley-Dickson algebras, starting with the octonions.
Rolf Sören Kraußhar
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Theory of Cyclic Algebras Over An Algebraic Number Field [PDF]

Transactions of the American Mathematical Society, 1932
I present this paper for publication to an American journal and in English for the following reason: The theory of linear algebras has been greatly extended through the work of American mathematicians. Of late, German mathematicians have become active in this theory.
Helmut Hasse
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Algebra and Number Theory

, 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].
Helmut Knebl, Hans Delfs
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SICs and Algebraic Number Theory [PDF]

Foundations of Physics, 2017
15 pages, 1 figure, AMS Latex, talk at the conference "Quantum and Beyond", Vaxjo, Sweden ...
Marcus Appleby +3 more
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Preface to Algebra and Number Theory [PDF]