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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.
Oggier, F., Viterbo, E.
core   +5 more sources

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 ...
Steven T. Flammia   +4 more
semanticscholar   +6 more sources

Quantum algorithms for problems in number theory, algebraic geometry, and group theory [PDF]

open access: green, 2012
Quantum computers can execute algorithms that sometimes dramatically outperform classical computation. Undoubtedly the best-known example of this is Shor's discovery of an efficient quantum algorithm for factoring integers, whereas the same problem ...
Sasaki, Yoshitaka, van Dam, Wim
core   +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
openaire   +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

Density of Arithmetic Representations of Function Fields [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
We propose a conjecture on the density of arithmetic points in the deformation space of representations of the \'etale fundamental group in positive characteristic. This?
Hélène Esnault, Moritz Kerz
doaj   +1 more source

On simple modules with singular highest weights for so2l+1(K) [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
In this paper, we study formal characters of simple modules with singular highest weights over classical Lie algebras of type B over an algebraically closed field of characteristic p ≥ h, where h is the Coxeter number. Assume that the highest weights of
Sh.Sh. Ibraev   +2 more
doaj   +2 more sources

Etale and crystalline companions, I [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
Let $X$ be a smooth scheme over a finite field of characteristic $p$. Consider the coefficient objects of locally constant rank on $X$ in $\ell$-adic Weil cohomology: these are lisse Weil sheaves in \'etale cohomology when $\ell \neq p$, and ...
Kiran S. Kedlaya
doaj   +1 more source

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