Results 11 to 20 of about 10,835,395 (273)
Trace formalism for motivic cohomology [PDF]
Épijournal 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
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Convert between neutrosophic complex numbers forms [PDF]
Neutrosophic Sets and Systems, 2023 Complex numbers have been studied in previous papers, but the papers did not deal with the conversion from algebraic form of a neutrosophic complex number form to exponential or trigonometric form and vice versa, and this prompted us to search for a ...
Yaser Ahmad Alhasan +2 more
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Algebraic, Analytic, and Computational Number Theory and Its Applications
Mathematics, 2023 Analytic number theory is a branch of number theory which inherits methods from mathematical analysis in order to solve difficult problems about the integers [...]
Diana Savin +2 more
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Gauss Congruences in Algebraic Number Fields
Annales Mathematicae Silesianae, 2022 In this miniature note we generalize the classical Gauss congruences for integers to rings of integers in algebraic number fields.
Gładki Paweł, Pulikowski Mateusz
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Optimal Ate Pairing on Elliptic Curves with Embedding Degree $9,15$ and $27$ [PDF]
Groups, Complexity, Cryptology, 2020 Much attention has been given to the efficient computation of pairings on elliptic curves with even embedding degree since the advent of pairing-based cryptography.
Emmanuel Fouotsa +2 more
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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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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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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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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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