Results 21 to 30 of about 14,956 (174)
Combinatorics on number walls and the P(t)$P(t)$‐adic Littlewood conjecture
Mathematika, Volume 72, Issue 1, January 2026.Abstract In 2004, de Mathan and Teulié stated the p$p$‐adic Littlewood conjecture (p$p$‐LC) in analogy with the classical Littlewood conjecture. Let Fq$\mathbb {F}_q$ be a finite field P(t)$P(t)$ be an irreducible polynomial with coefficients in Fq$\mathbb {F}_q$. This paper deals with the analogue of p$p$‐LC over the ring of formal Laurent series over
Steven Robertson
wiley +1 more source
Diophantine approximation in Banach spaces [PDF]
, 2016 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.
Fishman, Lior +2 more
core
An Inhomogeneous Transference Principle and Diophantine Approximation
, 2008 In a landmark paper, D.Y. Kleinbock and G.A. Margulis established the fundamental Baker-Sprindzuk conjecture on homogeneous Diophantine approximation on manifolds. Subsequently, there has been dramatic progress in this area of research.
Beresnevich, Victor, Velani, Sanju
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Rigidity of non-maximal torus actions, unipotent quantitative recurrence, and Diophantine approximations [PDF]
, 2023 Manfred Einsiedler, Elon Lindenstrauss
openalex +1 more source
Curves of best approximation on wonderful varieties
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3941-3948, December 2025.Abstract We give an unconditional proof of the Coba conjecture for wonderful compactifications of adjoint type for semisimple Lie groups of type An$A_n$. We also give a proof of a slightly weaker conjecture for wonderful compactifications of adjoint type for arbitrary Lie groups.
Christopher Manon +2 more
wiley +1 more source
Diophantine Approximations. [PDF]
The American Mathematical Monthly, 1964 W. E. Briggs, Ivan Niven
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Euclidean algorithms are Gaussian over imaginary quadratic fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley +1 more source
Periodic boxcar deconvolution and diophantine approximation
, 2004 We consider the nonparametric estimation of a periodic function that is observed in additive Gaussian white noise after convolution with a ``boxcar,'' the indicator function of an interval.
Johnstone, Iain M., Raimondo, Marc
core +2 more sources
Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analog of Iitaka fibrations, which have not yet been adequately
Ulrich Derenthal, Florian Wilsch
wiley +1 more source
Diophantine approximation by conjugate algebraic integers
, 2003 Building on work of Davenport and Schmidt, we mainly prove two results. The first one is a version of Gel'fond's transcendence criterion which provides a sufficient condition for a complex or $p$-adic number $\xi$ to be algebraic in terms of the ...
Roy, Damien, Waldschmidt, Michel
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