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Algorithms in Algebraic Number Theory [PDF]
Bulletin of the American Mathematical Society, 199234 ...
Lenstra Jr., Hendrik W.
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Algebraic number theory and code design for Rayleigh fading channels [PDF]
Foundations and Trends in Communications and Information Theory, 2004Algebraic 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.
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SICs and Algebraic Number Theory [PDF]
Foundations of Physics, 201715 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]
, 2012Quantum 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
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Theory of cyclic algebras over an algebraic number field [PDF]
Transactions of the American Mathematical Society, 1932I 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, 2023The 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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Density of Arithmetic Representations of Function Fields [PDF]
Épijournal de Géométrie Algébrique, 2022We 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
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On simple modules with singular highest weights for so2l+1(K) [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022In 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
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Etale and crystalline companions, I [PDF]
Épijournal de Géométrie Algébrique, 2022Let $X$ 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
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