Results 21 to 30 of about 22,960 (196)
Bohr sets and multiplicative Diophantine approximation [PDF]
Duke Mathematical Journal, 2018 In two dimensions, Gallagher's theorem is a strengthening of the Littlewood conjecture that holds for almost all pairs of real numbers. We prove an inhomogeneous fibre version of Gallagher's theorem, sharpening and making unconditional a result recently obtained conditionally by Beresnevich, Haynes and Velani.
Chow, S, Technau, N
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IEEE Access, 2023 The global agricultural sector is responsible for fulfilling the food requirements of the increasing population around the globe, alongside contributing to 28% of global employment.
Vimala Jayakumar +5 more
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The extensibility of the Diophantine triple {2, b, c}
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 The aim of this paper is to consider the extensibility of the Diophantine triple {2, b, c}, where 2 < b < c, and to prove that such a set cannot be extended to an irregular Diophantine quadruple.
Adžaga Nikola +2 more
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Exceptional Sets for Diophantine Inequalities [PDF]
International Mathematics Research Notices, 2013 We apply Freeman's variant of the Davenport-Heilbronn method to investigate the exceptional set of real numbers not close to some value of a given real diagonal form at an integral argument. Under appropriate conditions, we show that the exceptional set in the interval [-N,N] has measure O(N^{1-c}), for a positive number c.
Parsell, Scott T., Wooley, Trevor D.
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Iterated differences sets, Diophantine approximations and applications [PDF]
Journal of Combinatorial Theory, Series A, 2021 43 pages, referees' comments included, minor errors in the proofs of Theorem 4.1 and Lemma 5.3 were ...
Vitaly Bergelson, Rigoberto Zelada
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Emergency shelter materials under a complex non-linear diophantine fuzzy decision support system
Complex & Intelligent Systems, 2023 The distribution of emergency shelter materials in emergency cases around the world is a hard task, the goal of this research is to offer a Complex Non-linear Diophantine Fuzzy (C-NLDF) decision-making model for earthquake shelter construction ...
Maria Shams +2 more
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Linear Diophantine fuzzy subsets of polygroups
Karpatsʹkì Matematičnì Publìkacìï, 2022 Linear Diophantine fuzzy sets were recently introduced as a generalized form of fuzzy sets. The aim of this paper is to shed the light on the relationship between algebraic hyperstructures and linear Diophantine fuzzy sets through polygroups.
M. Al Tahan +3 more
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Complexity, 2021 Linear Diophantine uncertain linguistic set (LDULS) is a modified variety of the fuzzy set (FS) to manage problematic and inconsistent information in actual life troubles.
Tahir Mahmood +6 more
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On the existence of $S$-Diophantine quadruples [PDF]
, 2018 Let $S$ be a set of primes. We call an $m$-tuple $(a_1,\ldots,a_m)$ of distinct, positive integers $S$-Diophantine, if for all $i\neq j$ the integers $s_{i,j}:=a_ia_j+1$ have only prime divisors coming from the set $S$, i.e.
Ziegler, Volker
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Finiteness results for F-Diophantine sets [PDF]
Monatshefte für Mathematik, 2015 Diophantine sets, i.e. sets of positive integers A with the property that the product of any two distinct elements of A increased by 1 is a perfect square, have a vast literature, dating back to Diophantus of Alexandria. The most important result states that such sets A can have at most ve elements, and there are only nitely many of them with ve ...
Bérczes, Attila +3 more
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