Results 11 to 20 of about 10,492,721 (271)
Algorithms in algebraic number theory [PDF]
Bulletin of the American Mathematical Society, 1992 In this paper we discuss the basic problems of algorithmic algebraic number theory. The emphasis is on aspects that are of interest from a purely mathematical point of view, and practical issues are largely disregarded. We describe what has been done and,
Lenstra Jr., Hendrik W.
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Remarks on the approximation to an algebraic number by algebraic numbers. [PDF]
Michigan Mathematical Journal, 1986 Die Verff. wenden eine in zwei früheren Arbeiten [vgl. \textit{E. Bombieri}, Acta Math. 148, 255-296 (1982; Zbl 0505.10015) und Verff., J. Reine Angew. Math. 342, 173-196 (1983; Zbl 0516.10024)] entwickelte Methode an, um eine algebraische Zahl durch algebraische Zahlen aus einem passenden reellen algebraischen Zahlkörper effektiv abzuschätzen.
Bombieri, E., Mueller, J.
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Neutrosophic Quadratic Residues and Non-Residues [PDF]
Neutrosophic Sets and Systems, 2021 In this paper, we present the Neutrosophic quadratic residues and nonresidues with their basic interpretation as graphs in an algebraic manner and analog to the algebraic graphs.
Chalapathi Tekuri +2 more
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Quotients of primes in an algebraic number ring [PDF]
Notes on Number Theory and Discrete Mathematics, 2016 It has been established on many occasions that the set of quotients of prime numbers is dense in the set of positive real numbers. More recently, it has been proved that the set of quotients of primes in the Gaussian integers is dense in the complex ...
Brian D. Sittinger
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Improving the efficiency of using multivalued logic tools: application of algebraic rings
Scientific Reports, 2023 It is shown that in order to increase the efficiency of using methods of abstract algebra in modern information technologies, it is important to establish an explicit connection between operations corresponding to various varieties of multivalued logics ...
Ibragim E. Suleimenov +3 more
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Multifractality of light in photonic arrays based on algebraic number theory
Communications Physics, 2020 Many natural patterns and shapes, such as meandering coastlines, clouds, or turbulent flows, exhibit a characteristic complexity that is mathematically described by fractal geometry.
F. Sgrignuoli +5 more
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Lattice index codes from algebraic number fields [PDF]
International Symposium on Information Theory, 2015 Broadcasting K independent messages to multiple users where each user has a subset of the K messages as side information is studied. This problem can be regarded as a natural generalization of the well-known index coding problem to the physical-layer ...
Yu-Chih Huang
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On the adele rings and zeta-functions of algebraic number fields [PDF]
, 1978 Keiichi Komatsu
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Finiteness theorems for algebraic tori over function fields
Comptes Rendus. Mathématique, 2021 We present a number of finiteness results for algebraic tori (and, more generally, for algebraic groups with toric connected component) over two classes of fields: finitely generated fields and function fields of algebraic varieties over fields of type ...
Rapinchuk, Andrei S., Rapinchuk, Igor A.
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The number of monounary algebras [PDF]
Algebra universalis, 2011 In this note we give an asymptotic estimate for the number of finite non-isomorphic monounary algebras of a given size.
Horváth Gábor +5 more
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