Results 71 to 80 of about 1,648,333 (245)
Diophantine approximation with one prime, two squares of primes and one kth power of a prime
Open Mathematics, 2021 Let ...
Gambini Alessandro
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Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
Annalen der Physik, Volume 538, Issue 7, July 2026.ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
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Restricted diophantine approximation [PDF]
Journal of the Australian Mathematical Society, 1977 AbstractThe problem considered is that of approximating irrationals α by rationals p/q where p and q avoid certain congruence classes mod 2k for certain integers k. Results are obtained which give close bounds on a number c such that |α - p/q| < c/q2 has infinitely many solutions where p and q can be expressed as the sum of three squares.
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Energy Science &Engineering, Volume 14, Issue 7, Page 3250-3271, July 2026.This study introduces bipolar q‐fractional fuzzy sets and new aggregation operators to support renewable energy selection under uncertainty. The proposed decision‐making framework effectively integrates positive and negative evaluations, ensuring consistent ranking and robust performance, as demonstrated through practical analysis and comparative ...
Sagvan Y. Musa +3 more
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An extension of the mixed integer part of a nonlinear form
Journal of Inequalities and Applications, 2017 Our aim in this paper is to consider the integer part of a nonlinear form representing primes. We establish that if λ 1 , λ 2 , … , λ 8 $\lambda_{1},\lambda _{2},\ldots,\lambda_{8}$ are positive real numbers, at least one of the ratios λ i / λ j ...
Yunhan Wang, Jiani Mu
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On the moments of exponential sums over r$r$‐free polynomials
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let Fq[t]${\mathbb {F}}_q[t]$ denote the ring of polynomials over the finite field Fq${\mathbb {F}}_q$. Building off of techniques of Balog and Ruzsa and of Keil in the integer setting, we determine the precise order of magnitude of k$k$th moments of exponential sums over r$r$‐free polynomials in Fq[t]${\mathbb {F}}_q[t]$ for all k>0$k>0$.
Ben Doyle
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Linguistic linear diophantine fuzzy Sugeno border approximation area comparison: Application in green supply chain management [PDF]
Journal of Fuzzy Extension and ApplicationsThe Linguistic generalzied Fuzzy Set (FS) is more efficient and effective for depicting awkward and uncertain data compared to existing models. In this manuscript, we describe the Sugeno-Weber laws for linguistic generalzied fuzzy information.
Zeeshan Ali, Dragan Pamucar
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AN OPTIMAL BOUND FOR THE RATIO BETWEEN ORDINARY AND UNIFORM EXPONENTS OF DIOPHANTINE APPROXIMATION [PDF]
Mathematika, 2018 We provide a lower bound for the ratio between the ordinary and uniform exponent of both simultaneous Diophantine approximation and Diophantine approximation by linear forms in any dimension.
Antoine Marnat, N. Moshchevitin
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On a conjecture in diophantine approximations, II
Journal of Number Theory, 1991 The author continues his investigations from Part I [Acta Math. Sin. 33, No. 5, 712--717 (1990; Zbl 0716.11030)] on the conjecture \((C_ 2)\). An elementary proof of conjecture \((C_ 2)\) for \(n=4\) is given.
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Simultaneous Diophantine approximation
Duke Mathematical Journal, 1946 The simplest problems of Diophantine approximation relate to the approximation of a single irrational number 0 by rational numbers pjq, and the principal question is how small we can make the error 0 — pjq in relation to q for infinitely many approximations. It is well known that this question can be answered almost completely in terms of the continued
Davenport, H., Mahler, K.
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