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Algorithms in Algebraic Number Theory [PDF]
34 ...
Lenstra Jr., Hendrik W.
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Algebraic Number Theory and Code Design for Rayleigh Fading Channels [PDF]
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
core +5 more sources
Theory of cyclic algebras over an algebraic number field [PDF]
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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QUANTUM ALGORITHMS FOR PROBLEMS IN NUMBER THEORY, ALGEBRAIC GEOMETRY, AND GROUP THEORY [PDF]
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 ...
Wim van Dam, Yoshitaka Sasaki
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SICs and Algebraic Number Theory [PDF]
15 pages, 1 figure, AMS Latex, talk at the conference "Quantum and Beyond", Vaxjo, Sweden ...
Steven T. Flammia+4 more
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On fibre spaces in the algebraic number theory. [PDF]
Keijiro Yamazaki
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Data‐driven performance metrics for neural network learning
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri+2 more
wiley +1 more source
Toral Algebraic Sets and Function Theory on Polydisks [PDF]
A toral algebraic set $A$ is an algebraic set in $\C^n$ whose intersection with $\T^n$ is sufficiently large to determine the holomorphic functions on $A$.
Agler, Jim+2 more
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A Note on Divisible Points of Curves [PDF]
Let $C$ be an irreducible algebraic curve defined over a number field and inside an algebraic torus of dimension at least 3. We partially answer a question posed by Levin on points on $C$ for which a non-trivial power lies again on $C$.
Bays, Martin, Habegger, Philipp
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