Results 81 to 90 of about 2,483 (259)

TRANSFERENCE THEOREMS FOR DIOPHANTINE APPROXIMATION WITH WEIGHTS [PDF]

Mathematika, 2019
In this paper we prove transference inequalities for regular and uniform Diophantine exponents in the weighted setting. Our results generalize the corresponding inequalities that exist in the `non-weighted' case.
O. German
semanticscholar   +1 more source

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, Daniel Gutiérrez‐Ruiz, Diego Gonzalez, J. David Vergara   +3 more
wiley   +1 more source

Diophantine approximation in Banach spaces [PDF]

, 2014
In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions. Moreover, we discuss Dirichlet-type theorems in a very general framework and define what it means for such a theorem to be optimal.
Urbański, Mariusz, Fishman, Lior, Simmons, David S., Mariusz Urbański, Lior Fishman, Simmons, David, David Simmons   +6 more
core   +1 more source

Linguistic linear diophantine fuzzy Sugeno border approximation area comparison: Application in green supply chain management [PDF]

Journal of Fuzzy Extension and Applications
The 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
doaj   +1 more source

A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation [PDF]

, 2017
We establish a new connection between metric Diophantine approximation and the parametric geometry of numbers by proving a variational principle facilitating the computation of the Hausdorff and packing dimensions of many sets of interest in Diophantine ...
Tushar Das, Lior Fishman, David Simmons, Mariusz Urba'nski   +3 more
semanticscholar   +1 more source

Higher-rank Bohr sets and multiplicative diophantine approximation [PDF]

Compositio Mathematica, 2018
Gallagher’s theorem is a sharpening and extension of the Littlewood conjecture that holds for almost all tuples of real numbers. We provide a fibre refinement, solving a problem posed by Beresnevich, Haynes and Velani in 2015.
Sam Chow, Niclas Technau
semanticscholar   +1 more source

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
wiley   +1 more source

An elegant model of the geodesic flow on the modular surface

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley   +1 more source

Estimates for diophantine approximation constants

, 1980
It is proved that the three-dimensional Diophantine approximation constant is at least 2(275)−12.
Cusick, T.W.
core   +1 more source

Inhomogeneous theory of dual Diophantine approximation on manifolds [PDF]

, 2013
The theory of inhomogeneous Diophantine approximation on manifolds is developed. In particular, the notion of nice manifolds is introduced and the divergence part of the Groshev type theory is established for all such manifolds.
Velani, Sanju, Beresnevich, Victor, Badziahin, Dzmitry   +2 more
core   +1 more source