Results 1 to 10 of about 635,864 (319)
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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Rooting out letters: octagonal symbol alphabets and algebraic number theory [PDF]
Journal of High Energy Physics, 2020 It is widely expected that NMHV amplitudes in planar, maximally supersymmetric Yang-Mills theory require symbol letters that are not rationally expressible in terms of momentum-twistor (or cluster) variables starting at two loops for eight particles. Re-
Jacob L. Bourjaily +5 more
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Algebraic Number Theory and Code Design for Rayleigh Fading Channels [PDF]
Foundations and Trends in Communications and Information Theory, 2004 Algebraic number theory is having an increasing impact in code design for many different coding applications, such as single antenna fading channels and more recently, MIMO systems.
Frédérique Oggier, Emanuele Viterbo
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Algorithms in Algebraic Number Theory [PDF]
Bulletin of the American Mathematical Society, 1992 34 ...
H. Lenstra
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Graduate Studies in Mathematics, 2006 Notation Introduction 1. Algebraic foundations 2. Dedekind domains 3. Extensions 4. Classgroups and units 5. Fields of low degree 6. Cyclotomic fields 7. Diophantine equations 8. L-functions Appendices Exercises Glossary of theorems Index.
Charles W. Curtis, Irving Reiner
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Newton polygons of higher order in algebraic number theory [PDF]
, 2011 We develop a theory of arithmetic Newton polygons of higher order, that provides the factorization of a separable polynomial over a p-adic eld, together with relevant arithmetic information about the elds generated by the irreducible factors.
Jordi Guàrdia +2 more
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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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Trace formalism for motivic cohomology [PDF]
Épijournal de Géométrie Algébrique, 2023 The goal of this paper is to construct trace maps for the six functor formalism of motivic cohomology after Voevodsky, Ayoub, and Cisinski-D\'{e}glise. We also construct an $\infty$-enhancement of such a trace formalism.
Tomoyuki Abe
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