Results 61 to 70 of about 4,479,316 (202)
Definability of complex functions in o‐minimal structures
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We prove that holomorphic continuations of functions in the classes an∗$\mathbf {an}^*$ and G$\mathcal {G}$ are definable in the o‐minimal structures Ran∗$\mathbb {R}_{\operatorname{an}^*}$ and RG$\mathbb {R}_{\mathcal {G}}$, respectively. More specifically, we give complex domains on which the holomorphic continuations are definable and show ...
Adele Padgett, Patrick Speissegger
wiley +1 more source
Random Diophantine equations in the primes
Mathematika, Volume 72, Issue 3, July 2026.Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
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SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS AND DIS-EQUATIONS COMPLEXITY [PDF]
, 2015 Series of problems concerning systems of linear Diophantine equations and dis-equations with explicitly given parameters are offered below. For every problem from a series the conditions upon the parameters under which the problem is NP-complete are ...
Nikolay N Kosovskii, Nikolay K Kosovskii
core
Minimal basis of the syzygies module of leading terms
Труды Института системного программирования РАН, 2019 Systems of polynomial equations are one of the most universal mathematical objects. Almost all the problems of cryptographic analysis can be reduced to finding solutions to systems of polynomial equations.
A. V. Sokurov
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Multivariate discrete splines and linear Diophantine equations [PDF]
Transactions of the American Mathematical Society, 1993 In this paper we investigate the algebraic properties of multivariate discrete splines. It turns out that multivariate discrete splines are closely related to linear diophantine equations. In particular, we use a solvability condition for a system of linear diophantine equations to obtain a necessary and sufficient condition for the integer translates ...
openaire +1 more source
New results on embeddings of self‐similar sets via renormalization
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract For self‐similar sets X,Y⊆R$X,Y\subseteq \mathbb {R}$, we obtain new results toward the affine embeddings conjecture of Feng–Huang–Rao (2014), and the equivalent weak intersections conjecture. We show that the conjecture holds when the defining maps of X,Y$X,Y$ have algebraic contraction ratios, and also for arbitrary Y$Y$ when the maps ...
Amir Algom, Michael Hochman, Meng Wu
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A Novel Alternative Algorithm for Solving Integer Linear Programming Problems Having Three Variables
Cybernetics and Information Technologies, 2020 In this study, a novel alternative method based on parameterization for solving Integer Linear Programming (ILP) problems having three variables is developed.
Alan Kadriye Simsek
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Kripke on Gödel Incompleteness
Theoria, Volume 92, Issue 3, June 2026.ABSTRACT This paper surveys six of Saul Kripke's highly creative ideas and results on Gödel incompleteness, from when he was an undergraduate to last publications. These include his extension of incompleteness from sentences to predicates, his model‐theoretic proof of incompleteness of arithmetic, his compelling analysis of incompleteness in terms of ...
Daniel Isaacson
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An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory
International Journal of Mathematics and Mathematical SciencesEvery field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the ...
K. M. Abirami +3 more
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Generalized free wreath products and their operator algebras
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
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