Results 51 to 60 of about 202 (150)
Discussion on Solutions of a Class of Cubic Diophantine Equations
, 2022 Abstract This paper uses the basic theory of Pell equation to discuss the following contents: hypothesizing or , and is odd prime in the , is positive integer, the cubic Diophantine equation has no positive integer solution ; when , the equation has positive integer solution if .
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Perspectives of Earth and Space Scientists, Volume 5, Issue 1, December 2024.Abstract This paper is a concept paper, which discusses the definition of randomness, and the sources of randomness in the physical system (the Universe) as well as in the formal mathematical system. I discuss how randomness, through chaos, the second law, the quantum mechanical character of small scales, and stochasticity is an intrinsic property of ...
Anastasios A. Tsonis
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There is no 290‐Theorem for higher degree forms
Mathematische Nachrichten, Volume 297, Issue 11, Page 4322-4332, November 2024.Abstract We study the universality of forms of degrees greater than 2 over rings of integers of totally real number fields. We show that such universal forms always exist, but cannot be characterized by any variant of the 290‐Theorem of Bhargava–Hanke.
Vítězslav Kala, Om Prakash
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Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract Using a two‐dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non‐singular complete intersections of cubic and quadric hypersurfaces of dimension at least 23 over Fq(t)$\mathbb {F}_q(t)$, provided char(Fq)>3$\operatorname{char}(\mathbb {F}_q)>3$.
Jakob Glas
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Elliptic Curves and Diophantine Equations [PDF]
, 2021 Given an equation of the form f(x, y) = 0, where f is a polynomial in two variables with rational coefficients of degree lower or equal to three, we will study the properties of the set of its rational solutions. We will show that if f is irreducible and
Klepáč, Adam
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Tackling Ternary Cubic Diophantine Equation
International Journal for Research in Applied Science and Engineering TechnologyAbstract: A few interesting characteristics among the solutions and the patterns of non-zero integral solutions to the nonhomogeneous cubic equation with three unknowns represented by the Diophantine equation 2 2 3 4( ) 7( ) 64 are examined.
P. Saranya, D. Keerthana
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Fortschritte der Physik, Volume 72, Issue 5, May 2024.Abstract The diffeomorphism class of simply connected smooth Calabi‐Yau threefolds with torsion‐free cohomology is determined via certain basic topological invariants: the Hodge numbers, the triple intersection form, and the second Chern class.
Aditi Chandra +4 more
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Human Behavior and Emerging Technologies, Volume 2024, Issue 1, 2024.The rise of the metaverse has ignited a surge of interest among researchers and decision‐makers, seeking to develop effective virtual commerce (v‐commerce) applications that cater to business demands and customer preferences. v‐commerce, an emerging concept, redefines the future of shopping experiences and customer‐product interactions.
Ghazala Bilquise +3 more
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Solving diophantine equations by factorization in number fields [PDF]
, 2015 Title: Solving diophantine equations by factorization in number fields Author: Bc. Maroš Hrnčiar Department: Department of Algebra Supervisor: Mgr.
Hrnčiar, Maroš
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Modified Scattering for the Cubic Schrödinger Equation on Diophantine Waveguides
Annals of PDEMinor ...
Camps, Nicolas, Staffilani, Gigliola
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