Results 1 to 10 of about 635,864 (319)

SICs and Algebraic Number Theory [PDF]

open access: greenFoundations of Physics, 2017
15 pages, 1 figure, AMS Latex, talk at the conference "Quantum and Beyond", Vaxjo, Sweden ...
Marcus Appleby   +3 more
semanticscholar   +6 more sources

Rooting out letters: octagonal symbol alphabets and algebraic number theory [PDF]

open access: yesJournal 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
doaj   +2 more sources

Algebraic Number Theory and Code Design for Rayleigh Fading Channels [PDF]

open access: greenFoundations 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
semanticscholar   +3 more sources

Algorithms in Algebraic Number Theory [PDF]

open access: yesBulletin of the American Mathematical Society, 1992
34 ...
H. Lenstra
openaire   +5 more sources

Algebraic number theory [PDF]

open access: greenGraduate 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
openalex   +2 more sources

Newton polygons of higher order in algebraic number theory [PDF]

open access: hybrid, 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
openalex   +2 more sources

Theory of Cyclic Algebras Over An Algebraic Number Field [PDF]

open access: bronzeTransactions 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
openalex   +3 more sources

Trace formalism for motivic cohomology [PDF]

open access: yesÉpijournal 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
doaj   +1 more source

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